10152961280 has 288 divisors, whose sum is σ = 31307931648. Its totient is φ = 3061555200.

The previous prime is 10152961267. The next prime is 10152961319. The reversal of 10152961280 is 8216925101.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10152961280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3053699 + ... + 3057021.

It is an arithmetic number, because the mean of its divisors is an integer number (108708096).

Almost surely, 2^10152961280 is an apocalyptic number.

10152961280 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 10152961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653965824).

10152961280 is an abundant number, since it is smaller than the sum of its proper divisors (21154970368).

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

10152961280 is a wasteful number, since it uses less digits than its factorization.

10152961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 10152961280 in words is "ten billion, one hundred fifty-two million, nine hundred sixty-one thousand, two hundred eighty".