899742135600 has 900 divisors, whose sum is σ = 4097864302488. Its totient is φ = 186955776000.

The previous prime is 899742135563. The next prime is 899742135623. The reversal of 899742135600 is 6531247998.

899742135600 is a `hidden beast` number, since 8 + 9 + 9 + 7 + 4 + 21 + 3 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17437840 + ... + 17489360.

It is a 1-persistent number, because it is pandigital, but 2⋅899742135600 = 1799484271200 is not.

Almost surely, 2^899742135600 is an apocalyptic number.

899742135600 is a gapful number since it is divisible by the number (80) 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 899742135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048932151244).

899742135600 is an abundant number, since it is smaller than the sum of its proper divisors (3198122166888).

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

899742135600 is a wasteful number, since it uses less digits than its factorization.

899742135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51576 (or 51549 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 899742135600 in words is "eight hundred ninety-nine billion, seven hundred forty-two million, one hundred thirty-five thousand, six hundred".