253423779840 has 1520 divisors, whose sum is σ = 1169302616064. Its totient is φ = 50960793600.

The previous prime is 253423779827. The next prime is 253423779883. The reversal of 253423779840 is 48977324352.

It is a happy number.

253423779840 is a `hidden beast` number, since 2 + 534 + 2 + 37 + 79 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×253423779840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8174960625 + ... + 8174960655.

Almost surely, 2^253423779840 is an apocalyptic number.

253423779840 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 253423779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584651308032).

253423779840 is an abundant number, since it is smaller than the sum of its proper divisors (915878836224).

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

253423779840 is an frugal number, since it uses more digits than its factorization.

253423779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 253423779840 in words is "two hundred fifty-three billion, four hundred twenty-three million, seven hundred seventy-nine thousand, eight hundred forty".