10151928000 has 672 divisors, whose sum is σ = 39375161280. Its totient is φ = 2488320000.

The previous prime is 10151927993. The next prime is 10151928013. The reversal of 10151928000 is 82915101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56087910 + ... + 56088090.

It is an arithmetic number, because the mean of its divisors is an integer number (58593990).

Almost surely, 2^10151928000 is an apocalyptic number.

10151928000 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 10151928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687580640).

10151928000 is an abundant number, since it is smaller than the sum of its proper divisors (29223233280).

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

10151928000 is a wasteful number, since it uses less digits than its factorization.

10151928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 10151928000 in words is "ten billion, one hundred fifty-one million, nine hundred twenty-eight thousand".