61546758120 has 112 divisors (see below), whose sum is σ = 207625427460. Its totient is φ = 16412461056.

The previous prime is 61546758107. The next prime is 61546758157. The reversal of 61546758120 is 2185764516.

61546758120 is a `hidden beast` number, since 6 + 1 + 5 + 4 + 67 + 581 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55254143844 + 6292614276 = 235062^2 + 79326^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1026169 + ... + 1084488.

Almost surely, 2^61546758120 is an apocalyptic number.

61546758120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61546758120 is an abundant number, since it is smaller than the sum of its proper divisors (146078669340).

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

61546758120 is a wasteful number, since it uses less digits than its factorization.

61546758120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110686 (or 2110667 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 61546758120 in words is "sixty-one billion, five hundred forty-six million, seven hundred fifty-eight thousand, one hundred twenty".