253279286069040 has 720 divisors, whose sum is σ = 1070569867768128. Its totient is φ = 52528379904000.

The previous prime is 253279286069039. The next prime is 253279286069057. The reversal of 253279286069040 is 40960682972352.

It is a happy number.

253279286069040 is a `hidden beast` number, since 2 + 532 + 7 + 9 + 2 + 8 + 6 + 0 + 6 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 317328060 + ... + 318125220.

Almost surely, 2^{253279286069040} is an apocalyptic number.

253279286069040 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 253279286069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535284933884064).

253279286069040 is an abundant number, since it is smaller than the sum of its proper divisors (817290581699088).

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

253279286069040 is a wasteful number, since it uses less digits than its factorization.

253279286069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797730 (or 797710 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 253279286069040 in words is "two hundred fifty-three trillion, two hundred seventy-nine billion, two hundred eighty-six million, sixty-nine thousand, forty".