215023251040000 has 720 divisors, whose sum is σ = 583343588298240. Its totient is φ = 78606489600000.

The previous prime is 215023251039899. The next prime is 215023251040069. The reversal of 215023251040000 is 40152320512.

It is a super-2 number, since 2×215023251040000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112754719047 + ... + 112754720953.

It is an arithmetic number, because the mean of its divisors is an integer number (810199428192).

Almost surely, 2^{215023251040000} is an apocalyptic number.

215023251040000 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 215023251040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291671794149120).

215023251040000 is an abundant number, since it is smaller than the sum of its proper divisors (368320337258240).

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

215023251040000 is a wasteful number, since it uses less digits than its factorization.

215023251040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 215023251040000 in words is "two hundred fifteen trillion, twenty-three billion, two hundred fifty-one million, forty thousand".