2516965753680 has 1120 divisors, whose sum is σ = 10777617402624. Its totient is φ = 533284798464.

The previous prime is 2516965753667. The next prime is 2516965753691. The reversal of 2516965753680 is 863575696152.

It is a happy number.

2516965753680 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 96 + 5 + 7 + 536 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 464982654 + ... + 464988066.

Almost surely, 2^{2516965753680} is an apocalyptic number.

2516965753680 is a gapful number since it is divisible by the number (20) 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 2516965753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388808701312).

2516965753680 is an abundant number, since it is smaller than the sum of its proper divisors (8260651648944).

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

2516965753680 is a wasteful number, since it uses less digits than its factorization.

2516965753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 2516965753680 in words is "two trillion, five hundred sixteen billion, nine hundred sixty-five million, seven hundred fifty-three thousand, six hundred eighty".