755867132160 has 864 divisors, whose sum is σ = 3130113248640. Its totient is φ = 154036076544.

The previous prime is 755867132149. The next prime is 755867132171. The reversal of 755867132160 is 61231768557.

It is an interprime number because it is at equal distance from previous prime (755867132149) and next prime (755867132171).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 60769462 + ... + 60781898.

It is an arithmetic number, because the mean of its divisors is an integer number (3622816260).

Almost surely, 2^755867132160 is an apocalyptic number.

755867132160 is a gapful number since it is divisible by the number (70) 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 755867132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565056624320).

755867132160 is an abundant number, since it is smaller than the sum of its proper divisors (2374246116480).

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

755867132160 is a wasteful number, since it uses less digits than its factorization.

755867132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12511 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 755867132160 in words is "seven hundred fifty-five billion, eight hundred sixty-seven million, one hundred thirty-two thousand, one hundred sixty".