1275151680 has 224 divisors, whose sum is σ = 4907767680. Its totient is φ = 309104640.

The previous prime is 1275151679. The next prime is 1275151699. The reversal of 1275151680 is 861515721.

1275151680 is a `hidden beast` number, since 12 + 7 + 51 + 516 + 80 = 666.

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 31 ways as a sum of consecutive naturals, for example, 88332 + ... + 101748.

Almost surely, 2^1275151680 is an apocalyptic number.

1275151680 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 1275151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453883840).

1275151680 is an abundant number, since it is smaller than the sum of its proper divisors (3632616000).

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

1275151680 is a wasteful number, since it uses less digits than its factorization.

1275151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13454 (or 13438 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1275151680 is about 35709.2660243808. The cubic root of 1275151680 is about 1084.3944407702.

The spelling of 1275151680 in words is "one billion, two hundred seventy-five million, one hundred fifty-one thousand, six hundred eighty".