255202701398400 has 768 divisors, whose sum is σ = 995417432064000. Its totient is φ = 56235606220800.

The previous prime is 255202701398399. The next prime is 255202701398419. The reversal of 255202701398400 is 4893107202552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 255202701398400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547648701 + ... + 548114499.

It is an arithmetic number, because the mean of its divisors is an integer number (1296116448000).

Almost surely, 2^{255202701398400} is an apocalyptic number.

255202701398400 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 255202701398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497708716032000).

255202701398400 is an abundant number, since it is smaller than the sum of its proper divisors (740214730665600).

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

255202701398400 is a wasteful number, since it uses less digits than its factorization.

255202701398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466127 (or 466110 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 255202701398400 in words is "two hundred fifty-five trillion, two hundred two billion, seven hundred one million, three hundred ninety-eight thousand, four hundred".