61291044360 has 1152 divisors, whose sum is σ = 272927491200. Its totient is φ = 12227604480.

The previous prime is 61291044317. The next prime is 61291044383. The reversal of 61291044360 is 6344019216.

61291044360 is a `hidden beast` number, since 6 + 1 + 291 + 0 + 4 + 4 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 117640900 + ... + 117641420.

It is an arithmetic number, because the mean of its divisors is an integer number (236916225).

Almost surely, 2^61291044360 is an apocalyptic number.

61291044360 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 61291044360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136463745600).

61291044360 is an abundant number, since it is smaller than the sum of its proper divisors (211636446840).

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

61291044360 is a wasteful number, since it uses less digits than its factorization.

61291044360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 61291044360 in words is "sixty-one billion, two hundred ninety-one million, forty-four thousand, three hundred sixty".