5077354900800 has 672 divisors, whose sum is σ = 20761760051200. Its totient is φ = 1057698570240.

The previous prime is 5077354900789. The next prime is 5077354900801. The reversal of 5077354900800 is 80094537705.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5077354900800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077354900801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34433631 + ... + 34580769.

Almost surely, 2^{5077354900800} is an apocalyptic number.

5077354900800 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 5077354900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10380880025600).

5077354900800 is an abundant number, since it is smaller than the sum of its proper divisors (15684405150400).

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

5077354900800 is a wasteful number, since it uses less digits than its factorization.

5077354900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147263 (or 147248 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 5077354900800 in words is "five trillion, seventy-seven billion, three hundred fifty-four million, nine hundred thousand, eight hundred".