60961582080 has 1320 divisors, whose sum is σ = 268334679600. Its totient is φ = 12745506816.

The previous prime is 60961582067. The next prime is 60961582081. The reversal of 60961582080 is 8028516906.

60961582080 is a `hidden beast` number, since 6 + 0 + 9 + 61 + 582 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (60961582081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2102123506 + ... + 2102123534.

Almost surely, 2^60961582080 is an apocalyptic number.

60961582080 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 60961582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134167339800).

60961582080 is an abundant number, since it is smaller than the sum of its proper divisors (207373097520).

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

60961582080 is a wasteful number, since it uses less digits than its factorization.

60961582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 60961582080 in words is "sixty billion, nine hundred sixty-one million, five hundred eighty-two thousand, eighty".