1253642688900 has 288 divisors, whose sum is σ = 4703978926080. Its totient is φ = 280449959040.

The previous prime is 1253642688871. The next prime is 1253642688917. The reversal of 1253642688900 is 98862463521.

1253642688900 is a `hidden beast` number, since 1 + 2 + 53 + 6 + 426 + 88 + 90 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 182659 + ... + 1593941.

It is an arithmetic number, because the mean of its divisors is an integer number (16333260160).

Almost surely, 2^{1253642688900} is an apocalyptic number.

1253642688900 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 1253642688900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351989463040).

1253642688900 is an abundant number, since it is smaller than the sum of its proper divisors (3450336237180).

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

1253642688900 is a wasteful number, since it uses less digits than its factorization.

1253642688900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411360 (or 1411347 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1253642688900 in words is "one trillion, two hundred fifty-three billion, six hundred forty-two million, six hundred eighty-eight thousand, nine hundred".