10151568000 has 768 divisors, whose sum is σ = 43323920640. Its totient is φ = 2314137600.

The previous prime is 10151567989. The next prime is 10151568013. The reversal of 10151568000 is 86515101.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 27215814 + ... + 27216186.

It is an arithmetic number, because the mean of its divisors is an integer number (56411355).

Almost surely, 2^10151568000 is an apocalyptic number.

10151568000 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 10151568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21661960320).

10151568000 is an abundant number, since it is smaller than the sum of its proper divisors (33172352640).

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

10151568000 is an frugal number, since it uses more digits than its factorization.

10151568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 10151568000 in words is "ten billion, one hundred fifty-one million, five hundred sixty-eight thousand".