5015516307840 has 384 divisors, whose sum is σ = 17890597370880. Its totient is φ = 1293406801920.

The previous prime is 5015516307811. The next prime is 5015516307847. The reversal of 5015516307840 is 487036155105.

5015516307840 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 5 + 1 + 630 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015516307847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271937659 + ... + 271956101.

It is an arithmetic number, because the mean of its divisors is an integer number (46590097320).

Almost surely, 2^{5015516307840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015516307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945298685440).

5015516307840 is an abundant number, since it is smaller than the sum of its proper divisors (12875081063040).

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

5015516307840 is a wasteful number, since it uses less digits than its factorization.

5015516307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20022 (or 20007 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 5015516307840 in words is "five trillion, fifteen billion, five hundred sixteen million, three hundred seven thousand, eight hundred forty".