10072643375520 has 960 divisors, whose sum is σ = 39537302999040. Its totient is φ = 2394572544000.

The previous prime is 10072643375449. The next prime is 10072643375533. The reversal of 10072643375520 is 2557334627001.

10072643375520 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 64 + 3 + 37 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1700595279 + ... + 1700601201.

It is an arithmetic number, because the mean of its divisors is an integer number (41184690624).

Almost surely, 2^{10072643375520} is an apocalyptic number.

10072643375520 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 10072643375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768651499520).

10072643375520 is an abundant number, since it is smaller than the sum of its proper divisors (29464659623520).

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

10072643375520 is a wasteful number, since it uses less digits than its factorization.

10072643375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 10072643375520 in words is "ten trillion, seventy-two billion, six hundred forty-three million, three hundred seventy-five thousand, five hundred twenty".