10372257436320 has 288 divisors, whose sum is σ = 38133175626000. Its totient is φ = 2552157683712.

The previous prime is 10372257436271. The next prime is 10372257436327. The reversal of 10372257436320 is 2363475227301.

10372257436320 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 2 + 2 + 5 + 7 + 4 + 3 + 632 + 0 = 666.

10372257436320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3057028446096 + 7315228990224 = 1748436^2 + 2704668^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10372257436327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47608596 + ... + 47825964.

Almost surely, 2^{10372257436320} is an apocalyptic number.

10372257436320 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 10372257436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19066587813000).

10372257436320 is an abundant number, since it is smaller than the sum of its proper divisors (27760918189680).

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

10372257436320 is a wasteful number, since it uses less digits than its factorization.

10372257436320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219952 (or 219941 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 10372257436320 in words is "ten trillion, three hundred seventy-two billion, two hundred fifty-seven million, four hundred thirty-six thousand, three hundred twenty".