215073153499680 has 2688 divisors, whose sum is σ = 938313586667520. Its totient is φ = 45509262704640.

The previous prime is 215073153499679. The next prime is 215073153499681. The reversal of 215073153499680 is 86994351370512.

215073153499680 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 7 + 3 + 1 + 534 + 9 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (215073153499679) and next prime (215073153499681).

It is a super-2 number, since 2×215073153499680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (215073153499681) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 82943752464 + ... + 82943755056.

It is an arithmetic number, because the mean of its divisors is an integer number (349074995040).

It is a 1-persistent number, because it is pandigital, but 2⋅215073153499680 = 430146306999360 is not.

Almost surely, 2^{215073153499680} is an apocalyptic number.

215073153499680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215073153499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469156793333760).

215073153499680 is an abundant number, since it is smaller than the sum of its proper divisors (723240433167840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

215073153499680 is a wasteful number, since it uses less digits than its factorization.

215073153499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 215073153499680 in words is "two hundred fifteen trillion, seventy-three billion, one hundred fifty-three million, four hundred ninety-nine thousand, six hundred eighty".