61500663189504 has 3744 divisors, whose sum is σ = 249617959718400. Its totient is φ = 14935653089280.

The previous prime is 61500663189499. The next prime is 61500663189529. The reversal of 61500663189504 is 40598136600516.

61500663189504 is a `hidden beast` number, since 6 + 1 + 50 + 0 + 6 + 6 + 3 + 1 + 89 + 504 = 666.

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 287 ways as a sum of consecutive naturals, for example, 917920346079 + ... + 917920346145.

It is an arithmetic number, because the mean of its divisors is an integer number (66671463600).

Almost surely, 2^{61500663189504} is an apocalyptic number.

61500663189504 is a gapful number since it is divisible by the number (64) 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 61500663189504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124808979859200).

61500663189504 is an abundant number, since it is smaller than the sum of its proper divisors (188117296528896).

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

61500663189504 is a wasteful number, since it uses less digits than its factorization.

61500663189504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 61500663189504 in words is "sixty-one trillion, five hundred billion, six hundred sixty-three million, one hundred eighty-nine thousand, five hundred four".