1258237808640 has 1664 divisors, whose sum is σ = 5072810803200. Its totient is φ = 294298583040.

The previous prime is 1258237808623. The next prime is 1258237808671. The reversal of 1258237808640 is 468087328521.

1258237808640 is a `hidden beast` number, since 1 + 258 + 237 + 80 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9907384257 + ... + 9907384383.

Almost surely, 2^{1258237808640} is an apocalyptic number.

1258237808640 is a gapful number since it is divisible by the number (10) 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 1258237808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536405401600).

1258237808640 is an abundant number, since it is smaller than the sum of its proper divisors (3814572994560).

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

1258237808640 is a wasteful number, since it uses less digits than its factorization.

1258237808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1258237808640 in words is "one trillion, two hundred fifty-eight billion, two hundred thirty-seven million, eight hundred eight thousand, six hundred forty".