253850799384 has 576 divisors, whose sum is σ = 886349168640. Its totient is φ = 64194923520.

The previous prime is 253850799383. The next prime is 253850799413. The reversal of 253850799384 is 483997058352.

253850799384 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 507 + 99 + 38 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253850799383) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335337534 + ... + 335338290.

It is an arithmetic number, because the mean of its divisors is an integer number (1538800640).

Almost surely, 2^253850799384 is an apocalyptic number.

253850799384 is a gapful number since it is divisible by the number (24) 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 253850799384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443174584320).

253850799384 is an abundant number, since it is smaller than the sum of its proper divisors (632498369256).

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

253850799384 is a wasteful number, since it uses less digits than its factorization.

253850799384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 253850799384 in words is "two hundred fifty-three billion, eight hundred fifty million, seven hundred ninety-nine thousand, three hundred eighty-four".