1253107608480 has 1728 divisors, whose sum is σ = 5566503720960. Its totient is φ = 251021721600.

The previous prime is 1253107608469. The next prime is 1253107608509. The reversal of 1253107608480 is 848067013521.

1253107608480 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 107 + 60 + 8 + 480 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3221356126 + ... + 3221356514.

It is an arithmetic number, because the mean of its divisors is an integer number (3221356320).

Almost surely, 2^{1253107608480} is an apocalyptic number.

1253107608480 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 1253107608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783251860480).

1253107608480 is an abundant number, since it is smaller than the sum of its proper divisors (4313396112480).

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

1253107608480 is a wasteful number, since it uses less digits than its factorization.

1253107608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1253107608480 in words is "one trillion, two hundred fifty-three billion, one hundred seven million, six hundred eight thousand, four hundred eighty".