61251240960 has 1056 divisors, whose sum is σ = 271386216192. Its totient is φ = 12899450880.

The previous prime is 61251240931. The next prime is 61251241003. The reversal of 61251240960 is 6904215216.

61251240960 is a `hidden beast` number, since 6 + 12 + 512 + 40 + 96 + 0 = 666.

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

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, 113218290 + ... + 113218830.

Almost surely, 2^61251240960 is an apocalyptic number.

61251240960 is a gapful number since it is divisible by the number (60) 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 61251240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135693108096).

61251240960 is an abundant number, since it is smaller than the sum of its proper divisors (210134975232).

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

61251240960 is a wasteful number, since it uses less digits than its factorization.

61251240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 61251240960 in words is "sixty-one billion, two hundred fifty-one million, two hundred forty thousand, nine hundred sixty".