253800162000 has 1920 divisors, whose sum is σ = 1185524121600. Its totient is φ = 50751360000.

The previous prime is 253800161971. The next prime is 253800162013. The reversal of 253800162000 is 261008352.

253800162000 is a `hidden beast` number, since 2 + 5 + 38 + 0 + 0 + 1 + 620 + 0 + 0 = 666.

253800162000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1417877911 + ... + 1417878089.

It is an arithmetic number, because the mean of its divisors is an integer number (617460480).

Almost surely, 2^253800162000 is an apocalyptic number.

253800162000 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 253800162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592762060800).

253800162000 is an abundant number, since it is smaller than the sum of its proper divisors (931723959600).

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

253800162000 is a wasteful number, since it uses less digits than its factorization.

253800162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 253800162000 in words is "two hundred fifty-three billion, eight hundred million, one hundred sixty-two thousand".