1257223680 has 480 divisors, whose sum is σ = 4718697984. Its totient is φ = 320495616.

The previous prime is 1257223679. The next prime is 1257223687. The reversal of 1257223680 is 863227521.

1257223680 is a `hidden beast` number, since 1 + 2 + 572 + 2 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1257223680² = 3161222763105484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257223687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26749417 + ... + 26749463.

Almost surely, 2^1257223680 is an apocalyptic number.

1257223680 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 1257223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359348992).

1257223680 is an abundant number, since it is smaller than the sum of its proper divisors (3461474304).

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

1257223680 is an frugal number, since it uses more digits than its factorization.

1257223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1257223680 is about 35457.3501547987. The cubic root of 1257223680 is about 1079.2884201531.

The spelling of 1257223680 in words is "one billion, two hundred fifty-seven million, two hundred twenty-three thousand, six hundred eighty".