260705075904000 has 3200 divisors, whose sum is σ = 1203562904544000. Its totient is φ = 54622008115200.

The previous prime is 260705075903981. The next prime is 260705075904011. The reversal of 260705075904000 is 409570507062.

260705075904000 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 0 + 50 + 7 + 590 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×260705075904000² (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 319 ways as a sum of consecutive naturals, for example, 70289854146 + ... + 70289857854.

It is an arithmetic number, because the mean of its divisors is an integer number (376113407670).

Almost surely, 2^{260705075904000} is an apocalyptic number.

260705075904000 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 260705075904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601781452272000).

260705075904000 is an abundant number, since it is smaller than the sum of its proper divisors (942857828640000).

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

260705075904000 is a wasteful number, since it uses less digits than its factorization.

260705075904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 260705075904000 in words is "two hundred sixty trillion, seven hundred five billion, seventy-five million, nine hundred four thousand".