10072940553 has 24 divisors (see below), whose sum is σ = 15925899080. Its totient is φ = 6097109760.

The previous prime is 10072940531. The next prime is 10072940617. The reversal of 10072940553 is 35504927001.

10072940553 is a `hidden beast` number, since 10 + 0 + 7 + 2 + 94 + 0 + 553 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 790003449 + 9282937104 = 28107^2 + 96348^2 .

It is not a de Polignac number, because 10072940553 - 2¹⁸ = 10072678409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10072940513) 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, 698548 + ... + 712821.

Almost surely, 2^10072940553 is an apocalyptic number.

10072940553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10072940553 is a deficient number, since it is larger than the sum of its proper divisors (5852958527).

10072940553 is a wasteful number, since it uses less digits than its factorization.

10072940553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411449 (or 1411446 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

It can be divided in two parts, 10072 and 940553, that added together give a square (950625 = 975²).

The spelling of 10072940553 in words is "ten billion, seventy-two million, nine hundred forty thousand, five hundred fifty-three".