5102076870144 has 240 divisors, whose sum is σ = 15694400985120. Its totient is φ = 1590047539200.

The previous prime is 5102076870061. The next prime is 5102076870157. The reversal of 5102076870144 is 4410786702015.

5102076870144 is a `hidden beast` number, since 510 + 2 + 0 + 7 + 68 + 70 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5102076870144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11613072 + ... + 12044400.

It is an arithmetic number, because the mean of its divisors is an integer number (65393337438).

Almost surely, 2^{5102076870144} 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 5102076870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847200492560).

5102076870144 is an abundant number, since it is smaller than the sum of its proper divisors (10592324114976).

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

5102076870144 is a wasteful number, since it uses less digits than its factorization.

5102076870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431521 (or 431502 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 5102076870144 in words is "five trillion, one hundred two billion, seventy-six million, eight hundred seventy thousand, one hundred forty-four".