5980451097600 has 1980 divisors, whose sum is σ = 26154736637040. Its totient is φ = 1346081587200.

The previous prime is 5980451097583. The next prime is 5980451097659. The reversal of 5980451097600 is 67901540895.

5980451097600 is a `hidden beast` number, since 59 + 8 + 0 + 4 + 510 + 9 + 76 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7214053986 + ... + 7214054814.

It is an arithmetic number, because the mean of its divisors is an integer number (13209462948).

Almost surely, 2^{5980451097600} is an apocalyptic number.

5980451097600 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 5980451097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077368318520).

5980451097600 is an abundant number, since it is smaller than the sum of its proper divisors (20174285539440).

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

5980451097600 is a wasteful number, since it uses less digits than its factorization.

5980451097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 5980451097600 in words is "five trillion, nine hundred eighty billion, four hundred fifty-one million, ninety-seven thousand, six hundred".