65625997881600 has 2592 divisors, whose sum is σ = 266553243500544. Its totient is φ = 15294608179200.

The previous prime is 65625997881559. The next prime is 65625997881611. The reversal of 65625997881600 is 618879952656.

65625997881600 is a `hidden beast` number, since 6 + 5 + 6 + 2 + 5 + 9 + 9 + 7 + 8 + 8 + 1 + 600 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 333126892702 + ... + 333126892898.

Almost surely, 2^{65625997881600} is an apocalyptic number.

65625997881600 is a gapful number since it is divisible by the number (60) 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 65625997881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133276621750272).

65625997881600 is an abundant number, since it is smaller than the sum of its proper divisors (200927245618944).

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

65625997881600 is a wasteful number, since it uses less digits than its factorization.

65625997881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 65625997881600 in words is "sixty-five trillion, six hundred twenty-five billion, nine hundred ninety-seven million, eight hundred eighty-one thousand, six hundred".