899516006400 has 816 divisors, whose sum is σ = 3295288516608. Its totient is φ = 214695936000.

The previous prime is 899516006393. The next prime is 899516006401. The reversal of 899516006400 is 4600615998.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 899516006400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899516006401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6866534335 + ... + 6866534465.

Almost surely, 2^899516006400 is an apocalyptic number.

899516006400 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 899516006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647644258304).

899516006400 is an abundant number, since it is smaller than the sum of its proper divisors (2395772510208).

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

899516006400 is a wasteful number, since it uses less digits than its factorization.

899516006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 899516006400 in words is "eight hundred ninety-nine billion, five hundred sixteen million, six thousand, four hundred".