10152898000 has 240 divisors, whose sum is σ = 28751606208. Its totient is φ = 3457440000.

The previous prime is 10152897983. The next prime is 10152898031. The reversal of 10152898000 is 89825101.

10152898000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 20677755 + ... + 20678245.

Almost surely, 2^10152898000 is an apocalyptic number.

10152898000 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 10152898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14375803104).

10152898000 is an abundant number, since it is smaller than the sum of its proper divisors (18598708208).

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

10152898000 is a wasteful number, since it uses less digits than its factorization.

10152898000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 10152898000 in words is "ten billion, one hundred fifty-two million, eight hundred ninety-eight thousand".