260257374000000 has 3584 divisors, whose sum is σ = 1097760948480000. Its totient is φ = 60970060800000.

The previous prime is 260257373999983. The next prime is 260257374000017. The reversal of 260257374000000 is 473752062.

It is a happy number.

260257374000000 is a `hidden beast` number, since 2 + 602 + 5 + 7 + 3 + 7 + 40 + 0 + 0 + 0 + 0 + 0 = 666.

260257374000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260257373999983) and next prime (260257374000017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1307825999901 + ... + 1307826000099.

It is an arithmetic number, because the mean of its divisors is an integer number (306294907500).

Almost surely, 2^{260257374000000} is an apocalyptic number.

260257374000000 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 260257374000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548880474240000).

260257374000000 is an abundant number, since it is smaller than the sum of its proper divisors (837503574480000).

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

260257374000000 is an frugal number, since it uses more digits than its factorization.

260257374000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 260257374000000 in words is "two hundred sixty trillion, two hundred fifty-seven billion, three hundred seventy-four million", and thus it is an aban number.