5167915623024 has 480 divisors, whose sum is σ = 17314541798400. Its totient is φ = 1313108858880.

The previous prime is 5167915622981. The next prime is 5167915623041. The reversal of 5167915623024 is 4203265197615.

It is a Cunningham number, because it is equal to 2273305²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222772194 + ... + 222795390.

It is an arithmetic number, because the mean of its divisors is an integer number (36071962080).

Almost surely, 2^{5167915623024} 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 5167915623024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657270899200).

5167915623024 is an abundant number, since it is smaller than the sum of its proper divisors (12146626175376).

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

5167915623024 is a wasteful number, since it uses less digits than its factorization.

5167915623024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23421 (or 23408 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 5167915623024 in words is "five trillion, one hundred sixty-seven billion, nine hundred fifteen million, six hundred twenty-three thousand, twenty-four".