10152405120 has 512 divisors, whose sum is σ = 38494310400. Its totient is φ = 2243543040.

The previous prime is 10152405119. The next prime is 10152405143. The reversal of 10152405120 is 2150425101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28279501 + ... + 28279859.

It is an arithmetic number, because the mean of its divisors is an integer number (75184200).

Almost surely, 2^10152405120 is an apocalyptic number.

10152405120 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 10152405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

10152405120 is an abundant number, since it is smaller than the sum of its proper divisors (28341905280).

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

10152405120 is a wasteful number, since it uses less digits than its factorization.

10152405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 10152405120 in words is "ten billion, one hundred fifty-two million, four hundred five thousand, one hundred twenty".