60980594688000 has 1200 divisors, whose sum is σ = 244863118163664. Its totient is φ = 15010077081600.

The previous prime is 60980594687983. The next prime is 60980594688031. The reversal of 60980594688000 is 88649508906.

60980594688000 is a `hidden beast` number, since 6 + 0 + 98 + 0 + 5 + 9 + 468 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35252813758464 + 25727780929536 = 5937408^2 + 5072256^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2156529862 + ... + 2156558138.

Almost surely, 2^{60980594688000} is an apocalyptic number.

60980594688000 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 60980594688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122431559081832).

60980594688000 is an abundant number, since it is smaller than the sum of its proper divisors (183882523475664).

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

60980594688000 is an equidigital number, since it uses as much as digits as its factorization.

60980594688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28345 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 60980594688000 in words is "sixty trillion, nine hundred eighty billion, five hundred ninety-four million, six hundred eighty-eight thousand".