10151658400 has 144 divisors (see below), whose sum is σ = 26773286400. Its totient is φ = 3736488960.

The previous prime is 10151658389. The next prime is 10151658427. The reversal of 10151658400 is 485615101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3732241 + ... + 3734959.

It is an arithmetic number, because the mean of its divisors is an integer number (185925600).

Almost surely, 2^10151658400 is an apocalyptic number.

10151658400 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 10151658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386643200).

10151658400 is an abundant number, since it is smaller than the sum of its proper divisors (16621628000).

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

10151658400 is a wasteful number, since it uses less digits than its factorization.

10151658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 10151658400 in words is "ten billion, one hundred fifty-one million, six hundred fifty-eight thousand, four hundred".