215033782515552 has 288 divisors, whose sum is σ = 821038079796480. Its totient is φ = 51556551183360.

The previous prime is 215033782515509. The next prime is 215033782515553. The reversal of 215033782515552 is 255515287330512.

215033782515552 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 3 + 3 + 7 + 82 + 5 + 1 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×215033782515552² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215033782515553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372661302 + ... + 373237877.

It is an arithmetic number, because the mean of its divisors is an integer number (2850826665960).

Almost surely, 2^{215033782515552} is an apocalyptic number.

215033782515552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

215033782515552 is an abundant number, since it is smaller than the sum of its proper divisors (606004297280928).

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

215033782515552 is a wasteful number, since it uses less digits than its factorization.

215033782515552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745899226 (or 745899215 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 215033782515552 in words is "two hundred fifteen trillion, thirty-three billion, seven hundred eighty-two million, five hundred fifteen thousand, five hundred fifty-two".