260209572779520 has 2160 divisors, whose sum is σ = 1146259913321952. Its totient is φ = 54364231434240.

The previous prime is 260209572779501. The next prime is 260209572779539. The reversal of 260209572779520 is 25977275902062.

260209572779520 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 0 + 9 + 572 + 7 + 7 + 9 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (260209572779501) and next prime (260209572779539).

It is a super-2 number, since 2×260209572779520² (a number of 30 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19651800100 + ... + 19651813340.

Almost surely, 2^{260209572779520} is an apocalyptic number.

260209572779520 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 260209572779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573129956660976).

260209572779520 is an abundant number, since it is smaller than the sum of its proper divisors (886050340542432).

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

260209572779520 is a wasteful number, since it uses less digits than its factorization.

260209572779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13413 (or 13374 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 260209572779520 in words is "two hundred sixty trillion, two hundred nine billion, five hundred seventy-two million, seven hundred seventy-nine thousand, five hundred twenty".