253990036800 has 672 divisors, whose sum is σ = 984345747840. Its totient is φ = 63487180800.

The previous prime is 253990036789. The next prime is 253990036801. The reversal of 253990036800 is 8630099352.

253990036800 is a `hidden beast` number, since 2 + 539 + 9 + 0 + 0 + 36 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253990036801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232804255 + ... + 232805345.

It is an arithmetic number, because the mean of its divisors is an integer number (1464800220).

Almost surely, 2^253990036800 is an apocalyptic number.

253990036800 is a gapful number since it is divisible by the number (20) 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 253990036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492172873920).

253990036800 is an abundant number, since it is smaller than the sum of its proper divisors (730355711040).

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

253990036800 is a wasteful number, since it uses less digits than its factorization.

253990036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 253990036800 in words is "two hundred fifty-three billion, nine hundred ninety million, thirty-six thousand, eight hundred".