899987768618400 has 3456 divisors, whose sum is σ = 4134866351616000. Its totient is φ = 185575322419200.

The previous prime is 899987768618377. The next prime is 899987768618417. The reversal of 899987768618400 is 4816867789998.

899987768618400 is a `hidden beast` number, since 8 + 9 + 9 + 9 + 87 + 7 + 68 + 61 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2004427101376 + ... + 2004427101824.

It is an arithmetic number, because the mean of its divisors is an integer number (1196431236000).

Almost surely, 2^{899987768618400} is an apocalyptic number.

899987768618400 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 899987768618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067433175808000).

899987768618400 is an abundant number, since it is smaller than the sum of its proper divisors (3234878582997600).

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

899987768618400 is a wasteful number, since it uses less digits than its factorization.

899987768618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 21069103104, while the sum is 90.

The spelling of 899987768618400 in words is "eight hundred ninety-nine trillion, nine hundred eighty-seven billion, seven hundred sixty-eight million, six hundred eighteen thousand, four hundred".