256498099200 has 1320 divisors, whose sum is σ = 1114520166144. Its totient is φ = 57065472000.

The previous prime is 256498099199. The next prime is 256498099261. The reversal of 256498099200 is 2990894652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 595122985 + ... + 595123415.

Almost surely, 2^256498099200 is an apocalyptic number.

256498099200 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 256498099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557260083072).

256498099200 is an abundant number, since it is smaller than the sum of its proper divisors (858022066944).

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

256498099200 is a wasteful number, since it uses less digits than its factorization.

256498099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 256498099200 in words is "two hundred fifty-six billion, four hundred ninety-eight million, ninety-nine thousand, two hundred".