253779751680 has 1152 divisors, whose sum is σ = 1048307097600. Its totient is φ = 50882936832.

The previous prime is 253779751669. The next prime is 253779751723. The reversal of 253779751680 is 86157977352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 800566882 + ... + 800567198.

It is an arithmetic number, because the mean of its divisors is an integer number (909988800).

Almost surely, 2^253779751680 is an apocalyptic number.

253779751680 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 253779751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524153548800).

253779751680 is an abundant number, since it is smaller than the sum of its proper divisors (794527345920).

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

253779751680 is a wasteful number, since it uses less digits than its factorization.

253779751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 253779751680 in words is "two hundred fifty-three billion, seven hundred seventy-nine million, seven hundred fifty-one thousand, six hundred eighty".