59779399680 has 1680 divisors, whose sum is σ = 288806765184. Its totient is φ = 11466178560.

The previous prime is 59779399679. The next prime is 59779399697. The reversal of 59779399680 is 8699397795.

It is a happy number.

59779399680 is a `hidden beast` number, since 5 + 97 + 79 + 399 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×59779399680² (a number of 22 digits) contains 22 as substring.

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 = 59779399599 and 59779399608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4598415354 + ... + 4598415366.

Almost surely, 2^59779399680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59779399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144403382592).

59779399680 is an abundant number, since it is smaller than the sum of its proper divisors (229027365504).

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

59779399680 is an equidigital number, since it uses as much as digits as its factorization.

59779399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 59779399680 in words is "fifty-nine billion, seven hundred seventy-nine million, three hundred ninety-nine thousand, six hundred eighty".