1257913970208 has 384 divisors, whose sum is σ = 4673371852800. Its totient is φ = 320458788864.

The previous prime is 1257913970179. The next prime is 1257913970213. The reversal of 1257913970208 is 8020793197521.

It is a happy number.

1257913970208 is a `hidden beast` number, since 1 + 257 + 91 + 39 + 70 + 208 = 666.

It is a super-2 number, since 2×1257913970208² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1631541 + ... + 2275467.

It is an arithmetic number, because the mean of its divisors is an integer number (12170239200).

Almost surely, 2^{1257913970208} is an apocalyptic number.

1257913970208 is a gapful number since it is divisible by the number (18) 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 1257913970208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336685926400).

1257913970208 is an abundant number, since it is smaller than the sum of its proper divisors (3415457882592).

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

1257913970208 is a wasteful number, since it uses less digits than its factorization.

1257913970208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643989 (or 643975 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 1257913970208 in words is "one trillion, two hundred fifty-seven billion, nine hundred thirteen million, nine hundred seventy thousand, two hundred eight".