10089554400 has 864 divisors, whose sum is σ = 40537905408. Its totient is φ = 2438553600.

The previous prime is 10089554359. The next prime is 10089554429. The reversal of 10089554400 is 445598001.

10089554400 is a `hidden beast` number, since 100 + 8 + 9 + 5 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142106365 + ... + 142106435.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^10089554400 is an apocalyptic number.

10089554400 is a gapful number since it is divisible by the number (10) 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 10089554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20268952704).

10089554400 is an abundant number, since it is smaller than the sum of its proper divisors (30448351008).

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

10089554400 is a wasteful number, since it uses less digits than its factorization.

10089554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10089554400 in words is "ten billion, eighty-nine million, five hundred fifty-four thousand, four hundred".