899166065090400 has 2880 divisors, whose sum is σ = 3633581355909120. Its totient is φ = 216399373977600.

The previous prime is 899166065090393. The next prime is 899166065090413. The reversal of 899166065090400 is 4090560661998.

899166065090400 is a `hidden beast` number, since 8 + 9 + 9 + 16 + 606 + 5 + 0 + 9 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×899166065090400² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 621400182477 + ... + 621400183923.

It is an arithmetic number, because the mean of its divisors is an integer number (1261660193024).

Almost surely, 2^{899166065090400} is an apocalyptic number.

899166065090400 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 899166065090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816790677954560).

899166065090400 is an abundant number, since it is smaller than the sum of its proper divisors (2734415290818720).

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

899166065090400 is a wasteful number, since it uses less digits than its factorization.

899166065090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 899166065090400 in words is "eight hundred ninety-nine trillion, one hundred sixty-six billion, sixty-five million, ninety thousand, four hundred".