215238945600 has 672 divisors, whose sum is σ = 920998472960. Its totient is φ = 47865323520.

The previous prime is 215238945589. The next prime is 215238945601. The reversal of 215238945600 is 6549832512.

215238945600 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 3 + 89 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215238945601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11179182 + ... + 11198418.

Almost surely, 2^215238945600 is an apocalyptic number.

215238945600 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 215238945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460499236480).

215238945600 is an abundant number, since it is smaller than the sum of its proper divisors (705759527360).

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

215238945600 is a wasteful number, since it uses less digits than its factorization.

215238945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19312 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 215238945600 in words is "two hundred fifteen billion, two hundred thirty-eight million, nine hundred forty-five thousand, six hundred".