61536187296 has 120 divisors (see below), whose sum is σ = 181388126304. Its totient is φ = 20465377920.

The previous prime is 61536187267. The next prime is 61536187303. The reversal of 61536187296 is 69278163516.

61536187296 is a `hidden beast` number, since 6 + 1 + 536 + 1 + 87 + 29 + 6 = 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 19 ways as a sum of consecutive naturals, for example, 1121461 + ... + 1175051.

Almost surely, 2^61536187296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61536187296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90694063152).

61536187296 is an abundant number, since it is smaller than the sum of its proper divisors (119851939008).

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

61536187296 is a wasteful number, since it uses less digits than its factorization.

61536187296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54056 (or 54039 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

It can be divided in two parts, 61536 and 187296, that added together give a 5-th power (248832 = 12⁵).

The spelling of 61536187296 in words is "sixty-one billion, five hundred thirty-six million, one hundred eighty-seven thousand, two hundred ninety-six".