61497552960 has 168 divisors, whose sum is σ = 211617519360. Its totient is φ = 16392250368.

The previous prime is 61497552953. The next prime is 61497552983. The reversal of 61497552960 is 6925579416.

61497552960 is a `hidden beast` number, since 6 + 1 + 49 + 75 + 529 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61497552897 and 61497552906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13254321 + ... + 13258959.

Almost surely, 2^61497552960 is an apocalyptic number.

61497552960 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 61497552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105808759680).

61497552960 is an abundant number, since it is smaller than the sum of its proper divisors (150119966400).

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

61497552960 is a wasteful number, since it uses less digits than its factorization.

61497552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9265 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 61497552960 in words is "sixty-one billion, four hundred ninety-seven million, five hundred fifty-two thousand, nine hundred sixty".