889013252400 has 2160 divisors, whose sum is σ = 3971851347744. Its totient is φ = 167772487680.

The previous prime is 889013252353. The next prime is 889013252423. The reversal of 889013252400 is 4252310988.

It is a super-2 number, since 2×889013252400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 20674726779 + ... + 20674726821.

Almost surely, 2^889013252400 is an apocalyptic number.

889013252400 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 889013252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985925673872).

889013252400 is an abundant number, since it is smaller than the sum of its proper divisors (3082838095344).

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

889013252400 is a wasteful number, since it uses less digits than its factorization.

889013252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 889013252400 in words is "eight hundred eighty-nine billion, thirteen million, two hundred fifty-two thousand, four hundred".