61975388160 has 1008 divisors, whose sum is σ = 258723481536. Its totient is φ = 13674479616.

The previous prime is 61975388159. The next prime is 61975388177. The reversal of 61975388160 is 6188357916.

61975388160 is a `hidden beast` number, since 6 + 1 + 97 + 538 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 61975388097 and 61975388106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 848977884 + ... + 848977956.

Almost surely, 2^61975388160 is an apocalyptic number.

61975388160 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 61975388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129361740768).

61975388160 is an abundant number, since it is smaller than the sum of its proper divisors (196748093376).

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

61975388160 is a wasteful number, since it uses less digits than its factorization.

61975388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 61975388160 in words is "sixty-one billion, nine hundred seventy-five million, three hundred eighty-eight thousand, one hundred sixty".