10991777374656 has 448 divisors, whose sum is σ = 35285715763200. Its totient is φ = 3334940024832.

The previous prime is 10991777374639. The next prime is 10991777374663. The reversal of 10991777374656 is 65647377719901.

10991777374656 is a `hidden beast` number, since 1 + 0 + 9 + 91 + 7 + 7 + 73 + 7 + 465 + 6 = 666.

It is a super-2 number, since 2×10991777374656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 1531524540 + ... + 1531531716.

It is an arithmetic number, because the mean of its divisors is an integer number (78762758400).

Almost surely, 2^{10991777374656} is an apocalyptic number.

10991777374656 is a gapful number since it is divisible by the number (16) 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 10991777374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642857881600).

10991777374656 is an abundant number, since it is smaller than the sum of its proper divisors (24293938388544).

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

10991777374656 is a wasteful number, since it uses less digits than its factorization.

10991777374656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 420078960, while the sum is 72.

The spelling of 10991777374656 in words is "ten trillion, nine hundred ninety-one billion, seven hundred seventy-seven million, three hundred seventy-four thousand, six hundred fifty-six".