260257436208000 has 6144 divisors, whose sum is σ = 1291766405529600. Its totient is φ = 50478059520000.

The previous prime is 260257436207927. The next prime is 260257436208061. The reversal of 260257436208000 is 802634752062.

260257436208000 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 5 + 7 + 436 + 208 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×260257436208000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 269139023517 + ... + 269139024483.

It is an arithmetic number, because the mean of its divisors is an integer number (210248438400).

Almost surely, 2^{260257436208000} is an apocalyptic number.

260257436208000 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 260257436208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645883202764800).

260257436208000 is an abundant number, since it is smaller than the sum of its proper divisors (1031508969321600).

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

260257436208000 is a wasteful number, since it uses less digits than its factorization.

260257436208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 260257436208000 in words is "two hundred sixty trillion, two hundred fifty-seven billion, four hundred thirty-six million, two hundred eight thousand".