10772457696 has 864 divisors, whose sum is σ = 42943380480. Its totient is φ = 2490808320.

The previous prime is 10772457691. The next prime is 10772457713. The reversal of 10772457696 is 69675427701.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772457691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 136360185 + ... + 136360263.

Almost surely, 2^10772457696 is an apocalyptic number.

10772457696 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 10772457696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21471690240).

10772457696 is an abundant number, since it is smaller than the sum of its proper divisors (32170922784).

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

10772457696 is a wasteful number, since it uses less digits than its factorization.

10772457696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 10772457696 in words is "ten billion, seven hundred seventy-two million, four hundred fifty-seven thousand, six hundred ninety-six".