253991628000 has 1152 divisors, whose sum is σ = 1077939757440. Its totient is φ = 55910400000.

The previous prime is 253991627933. The next prime is 253991628019. The reversal of 253991628000 is 826199352.

253991628000 is a `hidden beast` number, since 2 + 539 + 91 + 6 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 195227350 + ... + 195228650.

It is an arithmetic number, because the mean of its divisors is an integer number (935711595).

Almost surely, 2^253991628000 is an apocalyptic number.

253991628000 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 253991628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538969878720).

253991628000 is an abundant number, since it is smaller than the sum of its proper divisors (823948129440).

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

253991628000 is a wasteful number, since it uses less digits than its factorization.

253991628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 253991628000 in words is "two hundred fifty-three billion, nine hundred ninety-one million, six hundred twenty-eight thousand".