253237192778368 has 128 divisors (see below), whose sum is σ = 521404416000000. Its totient is φ = 122384923315200.

The previous prime is 253237192778363. The next prime is 253237192778407. The reversal of 253237192778368 is 863877291732352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 253237192778368.

It is not an unprimeable number, because it can be changed into a prime (253237192778363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30916513153 + ... + 30916521343.

It is an arithmetic number, because the mean of its divisors is an integer number (4073472000000).

Almost surely, 2^{253237192778368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253237192778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260702208000000).

253237192778368 is an abundant number, since it is smaller than the sum of its proper divisors (268167223221632).

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

253237192778368 is a wasteful number, since it uses less digits than its factorization.

253237192778368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16762 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 73.

The spelling of 253237192778368 in words is "two hundred fifty-three trillion, two hundred thirty-seven billion, one hundred ninety-two million, seven hundred seventy-eight thousand, three hundred sixty-eight".