253560780000 has 1920 divisors, whose sum is σ = 1115498926080. Its totient is φ = 55987200000.

The previous prime is 253560779993. The next prime is 253560780007. The reversal of 253560780000 is 87065352.

253560780000 is a `hidden beast` number, since 25 + 3 + 560 + 78 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253560779993) and next prime (253560780007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253560780007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8179379985 + ... + 8179380015.

It is an arithmetic number, because the mean of its divisors is an integer number (580989024).

Almost surely, 2^253560780000 is an apocalyptic number.

253560780000 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 253560780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557749463040).

253560780000 is an abundant number, since it is smaller than the sum of its proper divisors (861938146080).

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

253560780000 is an equidigital number, since it uses as much as digits as its factorization.

253560780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 253560780000 in words is "two hundred fifty-three billion, five hundred sixty million, seven hundred eighty thousand".