5407981977600 has 1800 divisors, whose sum is σ = 22064626731840. Its totient is φ = 1303322296320.

The previous prime is 5407981977599. The next prime is 5407981977631. The reversal of 5407981977600 is 67791897045.

5407981977600 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 9 + 8 + 19 + 7 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14498611014 + ... + 14498611386.

Almost surely, 2^{5407981977600} is an apocalyptic number.

5407981977600 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 5407981977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11032313365920).

5407981977600 is an abundant number, since it is smaller than the sum of its proper divisors (16656644754240).

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

5407981977600 is a wasteful number, since it uses less digits than its factorization.

5407981977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 5407981977600 in words is "five trillion, four hundred seven billion, nine hundred eighty-one million, nine hundred seventy-seven thousand, six hundred".