253564286976 has 1152 divisors, whose sum is σ = 1021703155200. Its totient is φ = 60675194880.

The previous prime is 253564286939. The next prime is 253564286977. The reversal of 253564286976 is 679682465352.

253564286976 is a `hidden beast` number, since 2 + 5 + 3 + 564 + 2 + 8 + 69 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (253564286977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498161410 + ... + 498161918.

It is an arithmetic number, because the mean of its divisors is an integer number (886895100).

Almost surely, 2^253564286976 is an apocalyptic number.

253564286976 is a gapful number since it is divisible by the number (26) 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 253564286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510851577600).

253564286976 is an abundant number, since it is smaller than the sum of its proper divisors (768138868224).

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

253564286976 is a wasteful number, since it uses less digits than its factorization.

253564286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 545 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 253564286976 in words is "two hundred fifty-three billion, five hundred sixty-four million, two hundred eighty-six thousand, nine hundred seventy-six".