65616157297152 has 5760 divisors, whose sum is σ = 289504990494720. Its totient is φ = 13874076057600.

The previous prime is 65616157297139. The next prime is 65616157297153. The reversal of 65616157297152 is 25179275161656.

65616157297152 is a `hidden beast` number, since 6 + 5 + 6 + 1 + 6 + 1 + 572 + 9 + 7 + 1 + 52 = 666.

It is a super-2 number, since 2×65616157297152² (a number of 28 digits) contains 22 as substring.

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

Its product of digits (47628000) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 65616157297152.

It is not an unprimeable number, because it can be changed into a prime (65616157297153) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 898851469788 + ... + 898851469860.

It is an arithmetic number, because the mean of its divisors is an integer number (50261283072).

Almost surely, 2^{65616157297152} is an apocalyptic number.

65616157297152 is a gapful number since it is divisible by the number (62) 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 65616157297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144752495247360).

65616157297152 is an abundant number, since it is smaller than the sum of its proper divisors (223888833197568).

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

65616157297152 is a wasteful number, since it uses less digits than its factorization.

65616157297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The spelling of 65616157297152 in words is "sixty-five trillion, six hundred sixteen billion, one hundred fifty-seven million, two hundred ninety-seven thousand, one hundred fifty-two".