10152720376960 has 192 divisors, whose sum is σ = 28240248362040. Its totient is φ = 3480164352000.

The previous prime is 10152720376933. The next prime is 10152720376963. The reversal of 10152720376960 is 6967302725101.

It can be written as a sum of positive squares in 4 ways, for example, as 10119982540864 + 32737836096 = 3181192^2 + 180936^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10152720376963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152407660 + ... + 152474260.

Almost surely, 2^{10152720376960} is an apocalyptic number.

10152720376960 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 10152720376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120124181020).

10152720376960 is an abundant number, since it is smaller than the sum of its proper divisors (18087527985080).

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

10152720376960 is an equidigital number, since it uses as much as digits as its factorization.

10152720376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71495 (or 71476 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 10152720376960 in words is "ten trillion, one hundred fifty-two billion, seven hundred twenty million, three hundred seventy-six thousand, nine hundred sixty".