253411353300000 has 1152 divisors, whose sum is σ = 962922664005120. Its totient is φ = 57153024000000.

The previous prime is 253411353299977. The next prime is 253411353300041. The reversal of 253411353300000 is 3353114352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67235698116 + ... + 67235701884.

It is an arithmetic number, because the mean of its divisors is an integer number (835870368060).

Almost surely, 2^{253411353300000} is an apocalyptic number.

253411353300000 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 253411353300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481461332002560).

253411353300000 is an abundant number, since it is smaller than the sum of its proper divisors (709511310705120).

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

253411353300000 is a wasteful number, since it uses less digits than its factorization.

253411353300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 253411353300000 in words is "two hundred fifty-three trillion, four hundred eleven billion, three hundred fifty-three million, three hundred thousand".