253451242055200 has 288 divisors, whose sum is σ = 713694078155520. Its totient is φ = 86090970009600.

The previous prime is 253451242055197. The next prime is 253451242055233. The reversal of 253451242055200 is 2550242154352.

It is a super-2 number, since 2×253451242055200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7827143010 + ... + 7827175390.

It is an arithmetic number, because the mean of its divisors is an integer number (2478104438040).

Almost surely, 2^{253451242055200} is an apocalyptic number.

253451242055200 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 253451242055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356847039077760).

253451242055200 is an abundant number, since it is smaller than the sum of its proper divisors (460242836100320).

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

253451242055200 is a wasteful number, since it uses less digits than its factorization.

253451242055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45340 (or 45327 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 253451242055200 in words is "two hundred fifty-three trillion, four hundred fifty-one billion, two hundred forty-two million, fifty-five thousand, two hundred".