5157977045760 has 1440 divisors, whose sum is σ = 23804836070400. Its totient is φ = 1034782801920.

The previous prime is 5157977045747. The next prime is 5157977045773. The reversal of 5157977045760 is 675407797515.

5157977045760 is a `hidden beast` number, since 5 + 1 + 57 + 9 + 7 + 7 + 0 + 4 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5157977045747) and next prime (5157977045773).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231506301 + ... + 231528579.

It is an arithmetic number, because the mean of its divisors is an integer number (16531136160).

Almost surely, 2^{5157977045760} 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 5157977045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902418035200).

5157977045760 is an abundant number, since it is smaller than the sum of its proper divisors (18646859024640).

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

5157977045760 is a wasteful number, since it uses less digits than its factorization.

5157977045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22359 (or 22336 counting only the distinct ones).

The product of its (nonzero) digits is 64827000, while the sum is 63.

The spelling of 5157977045760 in words is "five trillion, one hundred fifty-seven billion, nine hundred seventy-seven million, forty-five thousand, seven hundred sixty".