1253640538800 has 360 divisors, whose sum is σ = 4708711644000. Its totient is φ = 307035463680.

The previous prime is 1253640538771. The next prime is 1253640538861. The reversal of 1253640538800 is 88350463521.

1253640538800 is a `hidden beast` number, since 1 + 2 + 5 + 36 + 4 + 0 + 538 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1253640538800² (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 9245896 + ... + 9380504.

Almost surely, 2^{1253640538800} is an apocalyptic number.

1253640538800 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 1253640538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354355822000).

1253640538800 is an abundant number, since it is smaller than the sum of its proper divisors (3455071105200).

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

1253640538800 is a wasteful number, since it uses less digits than its factorization.

1253640538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134845 (or 134831 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1253640538800 in words is "one trillion, two hundred fifty-three billion, six hundred forty million, five hundred thirty-eight thousand, eight hundred".