253226437992000 has 1344 divisors, whose sum is σ = 995539770021888. Its totient is φ = 60932252160000.

The previous prime is 253226437991971. The next prime is 253226437992023. The reversal of 253226437992000 is 299734622352.

253226437992000 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 2 + 64 + 379 + 9 + 200 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170752823259 + ... + 170752824741.

It is an arithmetic number, because the mean of its divisors is an integer number (740728995552).

Almost surely, 2^{253226437992000} is an apocalyptic number.

253226437992000 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 253226437992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497769885010944).

253226437992000 is an abundant number, since it is smaller than the sum of its proper divisors (742313332029888).

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

253226437992000 is a wasteful number, since it uses less digits than its factorization.

253226437992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 253226437992000 in words is "two hundred fifty-three trillion, two hundred twenty-six billion, four hundred thirty-seven million, nine hundred ninety-two thousand".