5151656570700 has 144 divisors (see below), whose sum is σ = 15055869425184. Its totient is φ = 1359917568000.

The previous prime is 5151656570699. The next prime is 5151656570759. The reversal of 5151656570700 is 70756561515.

It is a self number, because there is not a number n which added to its sum of digits gives 5151656570700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204118482 + ... + 204143718.

It is an arithmetic number, because the mean of its divisors is an integer number (104554648786).

Almost surely, 2^{5151656570700} is an apocalyptic number.

5151656570700 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 5151656570700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527934712592).

5151656570700 is an abundant number, since it is smaller than the sum of its proper divisors (9904212854484).

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

5151656570700 is a wasteful number, since it uses less digits than its factorization.

5151656570700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32092 (or 32085 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 48.

The spelling of 5151656570700 in words is "five trillion, one hundred fifty-one billion, six hundred fifty-six million, five hundred seventy thousand, seven hundred".