61180927920 has 480 divisors, whose sum is σ = 246538506240. Its totient is φ = 13301729280.

The previous prime is 61180927817. The next prime is 61180927939. The reversal of 61180927920 is 2972908116.

61180927920 is a `hidden beast` number, since 611 + 8 + 0 + 9 + 2 + 7 + 9 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9214842 + ... + 9221478.

It is an arithmetic number, because the mean of its divisors is an integer number (513621888).

Almost surely, 2^61180927920 is an apocalyptic number.

61180927920 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 61180927920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123269253120).

61180927920 is an abundant number, since it is smaller than the sum of its proper divisors (185357578320).

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

61180927920 is a wasteful number, since it uses less digits than its factorization.

61180927920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6753 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 61180927920 in words is "sixty-one billion, one hundred eighty million, nine hundred twenty-seven thousand, nine hundred twenty".