260172564337152 has 320 divisors, whose sum is σ = 771772547145600. Its totient is φ = 86539295784960.

The previous prime is 260172564337141. The next prime is 260172564337163. The reversal of 260172564337152 is 251733465271062.

260172564337152 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 7 + 2 + 56 + 433 + 7 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (260172564337141) and next prime (260172564337163).

It is a super-2 number, since 2×260172564337152² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 12925250224 + ... + 12925270352.

It is an arithmetic number, because the mean of its divisors is an integer number (2411789209830).

Almost surely, 2^{260172564337152} 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 260172564337152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385886273572800).

260172564337152 is an abundant number, since it is smaller than the sum of its proper divisors (511599982808448).

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

260172564337152 is a wasteful number, since it uses less digits than its factorization.

260172564337152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104 (or 22082 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 260172564337152 in words is "two hundred sixty trillion, one hundred seventy-two billion, five hundred sixty-four million, three hundred thirty-seven thousand, one hundred fifty-two".