61755217471200 has 144 divisors (see below), whose sum is σ = 219287163223296. Its totient is φ = 14970961804800.

The previous prime is 61755217471169. The next prime is 61755217471219. The reversal of 61755217471200 is 217471255716.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61755217471200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169579992 + ... + 1169632791.

It is an arithmetic number, because the mean of its divisors is an integer number (1522827522384).

Almost surely, 2^{61755217471200} is an apocalyptic number.

61755217471200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61755217471200 is an abundant number, since it is smaller than the sum of its proper divisors (157531945752096).

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

61755217471200 is a wasteful number, since it uses less digits than its factorization.

61755217471200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339212817 (or 2339212804 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 48.

The spelling of 61755217471200 in words is "sixty-one trillion, seven hundred fifty-five billion, two hundred seventeen million, four hundred seventy-one thousand, two hundred".