61856593920 has 864 divisors, whose sum is σ = 247438573200. Its totient is φ = 14646804480.

The previous prime is 61856593891. The next prime is 61856593937. The reversal of 61856593920 is 2939565816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×61856593920² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1438525419 + ... + 1438525461.

Almost surely, 2^61856593920 is an apocalyptic number.

61856593920 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 61856593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123719286600).

61856593920 is an abundant number, since it is smaller than the sum of its proper divisors (185581979280).

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

61856593920 is a wasteful number, since it uses less digits than its factorization.

61856593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 61856593920 in words is "sixty-one billion, eight hundred fifty-six million, five hundred ninety-three thousand, nine hundred twenty".