5081901237504 has 1152 divisors, whose sum is σ = 20217162792960. Its totient is φ = 1220670259200.

The previous prime is 5081901237449. The next prime is 5081901237509. The reversal of 5081901237504 is 4057321091805.

5081901237504 is a `hidden beast` number, since 5 + 0 + 8 + 19 + 0 + 123 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 5081901237504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5081901237509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 331471119 + ... + 331486449.

It is an arithmetic number, because the mean of its divisors is an integer number (17549620480).

Almost surely, 2^{5081901237504} is an apocalyptic number.

5081901237504 is a gapful number since it is divisible by the number (54) 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 5081901237504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108581396480).

5081901237504 is an abundant number, since it is smaller than the sum of its proper divisors (15135261555456).

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

5081901237504 is a wasteful number, since it uses less digits than its factorization.

5081901237504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424 (or 15404 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5081901237504 in words is "five trillion, eighty-one billion, nine hundred one million, two hundred thirty-seven thousand, five hundred four".