1271258437680 has 1280 divisors, whose sum is σ = 5550644736000. Its totient is φ = 261945446400.

The previous prime is 1271258437667. The next prime is 1271258437699. The reversal of 1271258437680 is 867348521721.

1271258437680 is a `hidden beast` number, since 1 + 2 + 7 + 125 + 8 + 437 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3642574146 + ... + 3642574494.

It is an arithmetic number, because the mean of its divisors is an integer number (4336441200).

Almost surely, 2^{1271258437680} is an apocalyptic number.

1271258437680 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 1271258437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775322368000).

1271258437680 is an abundant number, since it is smaller than the sum of its proper divisors (4279386298320).

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

1271258437680 is a wasteful number, since it uses less digits than its factorization.

1271258437680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1271258437680 in words is "one trillion, two hundred seventy-one billion, two hundred fifty-eight million, four hundred thirty-seven thousand, six hundred eighty".