5101864289280 has 1320 divisors, whose sum is σ = 21156908351040. Its totient is φ = 1171501056000.

The previous prime is 5101864289279. The next prime is 5101864289311. The reversal of 5101864289280 is 829824681015.

5101864289280 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 86 + 4 + 289 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 953438605 + ... + 953443955.

It is an arithmetic number, because the mean of its divisors is an integer number (16027960872).

Almost surely, 2^{5101864289280} 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 5101864289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578454175520).

5101864289280 is an abundant number, since it is smaller than the sum of its proper divisors (16055044061760).

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

5101864289280 is a wasteful number, since it uses less digits than its factorization.

5101864289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 5101864289280 in words is "five trillion, one hundred one billion, eight hundred sixty-four million, two hundred eighty-nine thousand, two hundred eighty".