260602417152 has 780 divisors, whose sum is σ = 980295996768. Its totient is φ = 67018752000.

The previous prime is 260602417123. The next prime is 260602417157. The reversal of 260602417152 is 251714206062.

It is a happy number.

260602417152 is a `hidden beast` number, since 2 + 6 + 0 + 602 + 41 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×260602417152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260602417157) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2580221902 + ... + 2580222002.

Almost surely, 2^260602417152 is an apocalyptic number.

260602417152 is a gapful number since it is divisible by the number (22) 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 260602417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490147998384).

260602417152 is an abundant number, since it is smaller than the sum of its proper divisors (719693579616).

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

260602417152 is an equidigital number, since it uses as much as digits as its factorization.

260602417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 260602417152 in words is "two hundred sixty billion, six hundred two million, four hundred seventeen thousand, one hundred fifty-two".