61599657743280 has 120 divisors (see below), whose sum is σ = 207007309888080. Its totient is φ = 16415845793280.

The previous prime is 61599657743191. The next prime is 61599657743329. The reversal of 61599657743280 is 8234775699516.

61599657743280 is a `hidden beast` number, since 6 + 1 + 5 + 9 + 9 + 6 + 577 + 43 + 2 + 8 + 0 = 666.

61599657743280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61599657743199 and 61599657743208.

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, 26838595 + ... + 29043234.

It is an arithmetic number, because the mean of its divisors is an integer number (1725060915734).

It is a 1-persistent number, because it is pandigital, but 2⋅61599657743280 = 123199315486560 is not.

Almost surely, 2^{61599657743280} is an apocalyptic number.

61599657743280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61599657743280 is an abundant number, since it is smaller than the sum of its proper divisors (145407652144800).

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

61599657743280 is a wasteful number, since it uses less digits than its factorization.

61599657743280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55883379 (or 55883370 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 61599657743280 in words is "sixty-one trillion, five hundred ninety-nine billion, six hundred fifty-seven million, seven hundred forty-three thousand, two hundred eighty".