10772601817392 has 320 divisors, whose sum is σ = 32645281996800. Its totient is φ = 3396443581440.

The previous prime is 10772601817387. The next prime is 10772601817499. The reversal of 10772601817392 is 29371810627701.

10772601817392 is a `hidden beast` number, since 1 + 0 + 7 + 72 + 6 + 0 + 181 + 7 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 186642234 + ... + 186699942.

It is an arithmetic number, because the mean of its divisors is an integer number (102016506240).

Almost surely, 2^{10772601817392} is an apocalyptic number.

10772601817392 is a gapful number since it is divisible by the number (12) 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 10772601817392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322640998400).

10772601817392 is an abundant number, since it is smaller than the sum of its proper divisors (21872680179408).

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

10772601817392 is a wasteful number, since it uses less digits than its factorization.

10772601817392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58073 (or 58061 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 10772601817392 in words is "ten trillion, seven hundred seventy-two billion, six hundred one million, eight hundred seventeen thousand, three hundred ninety-two".