61612175520 has 1152 divisors, whose sum is σ = 269007298560. Its totient is φ = 12517908480.

The previous prime is 61612175519. The next prime is 61612175551. The reversal of 61612175520 is 2557121616.

61612175520 is a `hidden beast` number, since 6 + 1 + 6 + 121 + 7 + 5 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312752062 + ... + 312752258.

It is an arithmetic number, because the mean of its divisors is an integer number (233513280).

Almost surely, 2^61612175520 is an apocalyptic number.

61612175520 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 61612175520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134503649280).

61612175520 is an abundant number, since it is smaller than the sum of its proper divisors (207395123040).

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

61612175520 is a wasteful number, since it uses less digits than its factorization.

61612175520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 61612175520 in words is "sixty-one billion, six hundred twelve million, one hundred seventy-five thousand, five hundred twenty".