253652761278 has 256 divisors, whose sum is σ = 678176686080. Its totient is φ = 68756688000.

The previous prime is 253652761273. The next prime is 253652761301. The reversal of 253652761278 is 872167256352.

253652761278 is a `hidden beast` number, since 2 + 5 + 36 + 527 + 6 + 12 + 78 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253652761273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126635425 + ... + 126637427.

It is an arithmetic number, because the mean of its divisors is an integer number (2649127680).

Almost surely, 2^253652761278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253652761278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339088343040).

253652761278 is an abundant number, since it is smaller than the sum of its proper divisors (424523924802).

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

253652761278 is a wasteful number, since it uses less digits than its factorization.

253652761278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2254 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 253652761278 in words is "two hundred fifty-three billion, six hundred fifty-two million, seven hundred sixty-one thousand, two hundred seventy-eight".