216924107400 has 2160 divisors, whose sum is σ = 1041117582960. Its totient is φ = 41607820800.

The previous prime is 216924107363. The next prime is 216924107419. The reversal of 216924107400 is 4701429612.

It is a happy number.

216924107400 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 241 + 0 + 7 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 16686469794 + ... + 16686469806.

It is an arithmetic number, because the mean of its divisors is an integer number (481998881).

Almost surely, 2^216924107400 is an apocalyptic number.

216924107400 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 216924107400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520558791480).

216924107400 is an abundant number, since it is smaller than the sum of its proper divisors (824193475560).

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

216924107400 is a wasteful number, since it uses less digits than its factorization.

216924107400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 216924107400 in words is "two hundred sixteen billion, nine hundred twenty-four million, one hundred seven thousand, four hundred".