59779399680000 has 5040 divisors, whose sum is σ = 300752142457536. Its totient is φ = 11466178560000.

The previous prime is 59779399679969. The next prime is 59779399680023. The reversal of 59779399680000 is 8699397795.

It is a happy number.

59779399680000 is a `hidden beast` number, since 5 + 97 + 79 + 399 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×59779399680000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 4598415359994 + ... + 4598415360006.

Almost surely, 2^{59779399680000} is an apocalyptic number.

59779399680000 is a gapful number since it is divisible by the number (50) 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 59779399680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150376071228768).

59779399680000 is an abundant number, since it is smaller than the sum of its proper divisors (240972742777536).

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

59779399680000 is an frugal number, since it uses more digits than its factorization.

59779399680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

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

The spelling of 59779399680000 in words is "fifty-nine trillion, seven hundred seventy-nine billion, three hundred ninety-nine million, six hundred eighty thousand".