5106997259520 has 1152 divisors, whose sum is σ = 18658877368320. Its totient is φ = 1181865738240.

The previous prime is 5106997259519. The next prime is 5106997259543. The reversal of 5106997259520 is 259527996015.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7726167990 + ... + 7726168650.

It is an arithmetic number, because the mean of its divisors is an integer number (16196942160).

Almost surely, 2^{5106997259520} 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 5106997259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329438684160).

5106997259520 is an abundant number, since it is smaller than the sum of its proper divisors (13551880108800).

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

5106997259520 is a wasteful number, since it uses less digits than its factorization.

5106997259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 60.

The spelling of 5106997259520 in words is "five trillion, one hundred six billion, nine hundred ninety-seven million, two hundred fifty-nine thousand, five hundred twenty".