61388524005120 has 1296 divisors, whose sum is σ = 243972399565440. Its totient is φ = 14164231716864.

The previous prime is 61388524005079. The next prime is 61388524005173. The reversal of 61388524005120 is 2150042588316.

61388524005120 is a `hidden beast` number, since 6 + 1 + 3 + 88 + 52 + 4 + 0 + 0 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11123121721 + ... + 11123127239.

Almost surely, 2^{61388524005120} is an apocalyptic number.

61388524005120 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 61388524005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121986199782720).

61388524005120 is an abundant number, since it is smaller than the sum of its proper divisors (182583875560320).

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

61388524005120 is a wasteful number, since it uses less digits than its factorization.

61388524005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 61388524005120 in words is "sixty-one trillion, three hundred eighty-eight billion, five hundred twenty-four million, five thousand, one hundred twenty".