10993701264 has 320 divisors, whose sum is σ = 37097625600. Its totient is φ = 2724212736.

The previous prime is 10993701259. The next prime is 10993701281. The reversal of 10993701264 is 46210739901.

It is a super-2 number, since 2×10993701264² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11535412 + ... + 11536364.

It is an arithmetic number, because the mean of its divisors is an integer number (115930080).

Almost surely, 2^10993701264 is an apocalyptic number.

10993701264 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 10993701264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18548812800).

10993701264 is an abundant number, since it is smaller than the sum of its proper divisors (26103924336).

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

10993701264 is a wasteful number, since it uses less digits than its factorization.

10993701264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 10993701264 in words is "ten billion, nine hundred ninety-three million, seven hundred one thousand, two hundred sixty-four".