11057062464 has 840 divisors, whose sum is σ = 42044112000. Its totient is φ = 2853107712.

The previous prime is 11057062433. The next prime is 11057062507. The reversal of 11057062464 is 46426075011.

11057062464 is a `hidden beast` number, since 1 + 1 + 0 + 570 + 6 + 24 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 139962777 + ... + 139962855.

Almost surely, 2^11057062464 is an apocalyptic number.

11057062464 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 11057062464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022056000).

11057062464 is an abundant number, since it is smaller than the sum of its proper divisors (30987049536).

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

11057062464 is a wasteful number, since it uses less digits than its factorization.

11057062464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11057062464 in words is "eleven billion, fifty-seven million, sixty-two thousand, four hundred sixty-four".