890094518400 has 384 divisors, whose sum is σ = 3100176576000. Its totient is φ = 224096256000.

The previous prime is 890094518353. The next prime is 890094518419. The reversal of 890094518400 is 4815490098.

It is a tau number, because it is divible by the number of its divisors (384).

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 890094518400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12165126 + ... + 12238074.

It is an arithmetic number, because the mean of its divisors is an integer number (8073376500).

Almost surely, 2^890094518400 is an apocalyptic number.

890094518400 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 890094518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550088288000).

890094518400 is an abundant number, since it is smaller than the sum of its proper divisors (2210082057600).

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

890094518400 is a wasteful number, since it uses less digits than its factorization.

890094518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73048 (or 73031 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 890094518400 in words is "eight hundred ninety billion, ninety-four million, five hundred eighteen thousand, four hundred".