257876373967212 has 1728 divisors, whose sum is σ = 887372306472960. Its totient is φ = 57479553331200.

The previous prime is 257876373967187. The next prime is 257876373967213. The reversal of 257876373967212 is 212769373678752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (257876373967213) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 130306403239 + ... + 130306405217.

It is an arithmetic number, because the mean of its divisors is an integer number (513525640320).

Almost surely, 2^{257876373967212} is an apocalyptic number.

257876373967212 is a gapful number since it is divisible by the number (22) 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 257876373967212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443686153236480).

257876373967212 is an abundant number, since it is smaller than the sum of its proper divisors (629495932505748).

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

257876373967212 is a wasteful number, since it uses less digits than its factorization.

257876373967212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2182 counting only the distinct ones).

The product of its digits is 2240421120, while the sum is 75.

The spelling of 257876373967212 in words is "two hundred fifty-seven trillion, eight hundred seventy-six billion, three hundred seventy-three million, nine hundred sixty-seven thousand, two hundred twelve".