61888509112320 has 2496 divisors, whose sum is σ = 257900908608000. Its totient is φ = 14028232458240.

The previous prime is 61888509112249. The next prime is 61888509112337. The reversal of 61888509112320 is 2321190588816.

61888509112320 is a `hidden beast` number, since 6 + 1 + 8 + 8 + 8 + 509 + 1 + 123 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113141698287 + ... + 113141698833.

Almost surely, 2^{61888509112320} is an apocalyptic number.

61888509112320 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 61888509112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128950454304000).

61888509112320 is an abundant number, since it is smaller than the sum of its proper divisors (196012399495680).

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

61888509112320 is a wasteful number, since it uses less digits than its factorization.

61888509112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 61888509112320 in words is "sixty-one trillion, eight hundred eighty-eight billion, five hundred nine million, one hundred twelve thousand, three hundred twenty".