215081026790400 has 2640 divisors, whose sum is σ = 870288895168000. Its totient is φ = 52285774233600.

The previous prime is 215081026790291. The next prime is 215081026790459. The reversal of 215081026790400 is 4097620180512.

215081026790400 is a `hidden beast` number, since 2 + 1 + 50 + 8 + 102 + 6 + 7 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 279689241216 + ... + 279689241984.

Almost surely, 2^{215081026790400} is an apocalyptic number.

215081026790400 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 215081026790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435144447584000).

215081026790400 is an abundant number, since it is smaller than the sum of its proper divisors (655207868377600).

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

215081026790400 is a wasteful number, since it uses less digits than its factorization.

215081026790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 215081026790400 in words is "two hundred fifteen trillion, eighty-one billion, twenty-six million, seven hundred ninety thousand, four hundred".