10693627504 has 240 divisors, whose sum is σ = 26831541600. Its totient is φ = 4096770048.

The previous prime is 10693627411. The next prime is 10693627513. The reversal of 10693627504 is 40572639601.

It is a super-2 number, since 2×10693627504² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28215187 + ... + 28215565.

It is an arithmetic number, because the mean of its divisors is an integer number (111798090).

Almost surely, 2^10693627504 is an apocalyptic number.

10693627504 is a gapful number since it is divisible by the number (14) 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 10693627504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415770800).

10693627504 is an abundant number, since it is smaller than the sum of its proper divisors (16137914096).

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

10693627504 is a wasteful number, since it uses less digits than its factorization.

10693627504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 10693627504 in words is "ten billion, six hundred ninety-three million, six hundred twenty-seven thousand, five hundred four".