5082976073700 has 576 divisors, whose sum is σ = 19516270878720. Its totient is φ = 1110650849280.

The previous prime is 5082976073699. The next prime is 5082976073701. The reversal of 5082976073700 is 73706792805.

5082976073700 is a `hidden beast` number, since 5 + 0 + 8 + 29 + 7 + 607 + 3 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5082976073699) and next prime (5082976073701).

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

It is not an unprimeable number, because it can be changed into a prime (5082976073701) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38130364 + ... + 38263436.

It is an arithmetic number, because the mean of its divisors is an integer number (33882414720).

Almost surely, 2^{5082976073700} is an apocalyptic number.

5082976073700 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 5082976073700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758135439360).

5082976073700 is an abundant number, since it is smaller than the sum of its proper divisors (14433294805020).

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

5082976073700 is a wasteful number, since it uses less digits than its factorization.

5082976073700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133193 (or 133180 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 5082976073700 in words is "five trillion, eighty-two billion, nine hundred seventy-six million, seventy-three thousand, seven hundred".