1177202005056 has 672 divisors, whose sum is σ = 4648035944448. Its totient is φ = 275264225280.

The previous prime is 1177202005027. The next prime is 1177202005103. The reversal of 1177202005056 is 6505002027711.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1177202005056.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17307691 + ... + 17375573.

Almost surely, 2^{1177202005056} is an apocalyptic number.

1177202005056 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 1177202005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324017972224).

1177202005056 is an abundant number, since it is smaller than the sum of its proper divisors (3470833939392).

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

1177202005056 is a wasteful number, since it uses less digits than its factorization.

1177202005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67959 (or 67946 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 1177202005056 in words is "one trillion, one hundred seventy-seven billion, two hundred two million, five thousand, fifty-six".