253200262420 has 48 divisors (see below), whose sum is σ = 607712112000. Its totient is φ = 86807021184.

The previous prime is 253200262397. The next prime is 253200262433. The reversal of 253200262420 is 24262002352.

It is a super-2 number, since 2×253200262420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3774331 + ... + 3840829.

It is an arithmetic number, because the mean of its divisors is an integer number (12660669000).

Almost surely, 2^253200262420 is an apocalyptic number.

253200262420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253200262420 is an abundant number, since it is smaller than the sum of its proper divisors (354511849580).

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

253200262420 is a wasteful number, since it uses less digits than its factorization.

253200262420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93712 (or 93710 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 253200262420 its reverse (24262002352), we get a palindrome (277462264772).

It can be divided in two parts, 253200 and 262420, that added together give a triangular number (515620 = T₁₀₁₅).

The spelling of 253200262420 in words is "two hundred fifty-three billion, two hundred million, two hundred sixty-two thousand, four hundred twenty".