16620148800 has 126 divisors (see below), whose sum is σ = 59071984218. Its totient is φ = 4432035840.

The previous prime is 16620148781. The next prime is 16620148843. The reversal of 16620148800 is 884102661.

16620148800 is a `hidden beast` number, since 16 + 620 + 14 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 738100224 + 15882048576 = 27168^2 + 126024^2 .

It is a super-2 number, since 2×16620148800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 562689 + ... + 591488.

Almost surely, 2^16620148800 is an apocalyptic number.

16620148800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16620148800 is an abundant number, since it is smaller than the sum of its proper divisors (42451835418).

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

16620148800 is a wasteful number, since it uses less digits than its factorization.

16620148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154205 (or 1154187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 16620148800 in words is "sixteen billion, six hundred twenty million, one hundred forty-eight thousand, eight hundred".