61257772044 has 384 divisors, whose sum is σ = 190267392000. Its totient is φ = 16684372224.

The previous prime is 61257772021. The next prime is 61257772061. The reversal of 61257772044 is 44027775216.

61257772044 is a `hidden beast` number, since 6 + 1 + 2 + 577 + 72 + 0 + 4 + 4 = 666.

61257772044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 390176814 + ... + 390176970.

It is an arithmetic number, because the mean of its divisors is an integer number (495488000).

Almost surely, 2^61257772044 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 61257772044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95133696000).

61257772044 is an abundant number, since it is smaller than the sum of its proper divisors (129009619956).

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

61257772044 is a wasteful number, since it uses less digits than its factorization.

61257772044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 61257772044 in words is "sixty-one billion, two hundred fifty-seven million, seven hundred seventy-two thousand, forty-four".