253955520000 has 3200 divisors, whose sum is σ = 1288567526400. Its totient is φ = 47775744000.

The previous prime is 253955519969. The next prime is 253955520023. The reversal of 253955520000 is 25559352.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×253955520000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 13366079991 + ... + 13366080009.

It is an arithmetic number, because the mean of its divisors is an integer number (402677352).

Almost surely, 2^253955520000 is an apocalyptic number.

253955520000 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 253955520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644283763200).

253955520000 is an abundant number, since it is smaller than the sum of its proper divisors (1034612006400).

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

253955520000 is a wasteful number, since it uses less digits than its factorization.

253955520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 253955520000 in words is "two hundred fifty-three billion, nine hundred fifty-five million, five hundred twenty thousand".