5100696665100 has 1152 divisors, whose sum is σ = 18812395929600. Its totient is φ = 1178634240000.

The previous prime is 5100696665033. The next prime is 5100696665153. The reversal of 5100696665100 is 15666960015.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2929750230 + ... + 2929751970.

It is an arithmetic number, because the mean of its divisors is an integer number (16330204800).

Almost surely, 2^{5100696665100} is an apocalyptic number.

5100696665100 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 5100696665100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406197964800).

5100696665100 is an abundant number, since it is smaller than the sum of its proper divisors (13711699264500).

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

5100696665100 is a wasteful number, since it uses less digits than its factorization.

5100696665100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 5100696665100 in words is "five trillion, one hundred billion, six hundred ninety-six million, six hundred sixty-five thousand, one hundred".