1253860920000 has 1680 divisors, whose sum is σ = 5198985792000. Its totient is φ = 286239744000.

The previous prime is 1253860919977. The next prime is 1253860920029. The reversal of 1253860920000 is 290683521.

1253860920000 is a `hidden beast` number, since 1 + 25 + 3 + 8 + 609 + 20 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5246279881 + ... + 5246280119.

It is an arithmetic number, because the mean of its divisors is an integer number (3094634400).

Almost surely, 2^{1253860920000} is an apocalyptic number.

1253860920000 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 1253860920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599492896000).

1253860920000 is an abundant number, since it is smaller than the sum of its proper divisors (3945124872000).

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

1253860920000 is a wasteful number, since it uses less digits than its factorization.

1253860920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1253860920000 in words is "one trillion, two hundred fifty-three billion, eight hundred sixty million, nine hundred twenty thousand".