565157982135096 has 1152 divisors, whose sum is σ = 1870660159580160. Its totient is φ = 153584169984000.

The previous prime is 565157982135091. The next prime is 565157982135121. The reversal of 565157982135096 is 690531289751565.

565157982135096 is a `hidden beast` number, since 5 + 6 + 5 + 1 + 5 + 7 + 98 + 21 + 3 + 509 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565157982135091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 202493005461 + ... + 202493008251.

It is an arithmetic number, because the mean of its divisors is an integer number (1623836944080).

Almost surely, 2^{565157982135096} is an apocalyptic number.

565157982135096 is a gapful number since it is divisible by the number (56) 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 565157982135096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935330079790080).

565157982135096 is an abundant number, since it is smaller than the sum of its proper divisors (1305502177445064).

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

565157982135096 is a wasteful number, since it uses less digits than its factorization.

565157982135096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 612360000, while the sum is 72.

The spelling of 565157982135096 in words is "five hundred sixty-five trillion, one hundred fifty-seven billion, nine hundred eighty-two million, one hundred thirty-five thousand, ninety-six".