9159998400 has 840 divisors, whose sum is σ = 40244328960. Its totient is φ = 1998120960.

The previous prime is 9159998399. The next prime is 9159998411. The reversal of 9159998400 is 48999519.

9159998400 is a `hidden beast` number, since 9 + 1 + 599 + 9 + 8 + 40 + 0 = 666.

9159998400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20865381 + ... + 20865819.

Almost surely, 2^9159998400 is an apocalyptic number.

9159998400 is a gapful number since it is divisible by the number (90) 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 9159998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122164480).

9159998400 is an abundant number, since it is smaller than the sum of its proper divisors (31084330560).

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

9159998400 is a wasteful number, since it uses less digits than its factorization.

9159998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 9159998400 is about 95707.8805532752. The cubic root of 9159998400 is about 2092.3377914111.

The spelling of 9159998400 in words is "nine billion, one hundred fifty-nine million, nine hundred ninety-eight thousand, four hundred".