256773417049800 has 1152 divisors, whose sum is σ = 1032946387200000. Its totient is φ = 58064817807360.

The previous prime is 256773417049783. The next prime is 256773417049811. The reversal of 256773417049800 is 8940714377652.

256773417049800 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 73 + 4 + 1 + 70 + 498 + 0 + 0 = 666.

256773417049800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43765706467 + ... + 43765712333.

It is an arithmetic number, because the mean of its divisors is an integer number (896654850000).

It is a 1-persistent number, because it is pandigital, but 2⋅256773417049800 = 513546834099600 is not.

Almost surely, 2^{256773417049800} is an apocalyptic number.

256773417049800 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 256773417049800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516473193600000).

256773417049800 is an abundant number, since it is smaller than the sum of its proper divisors (776172970150200).

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

256773417049800 is a wasteful number, since it uses less digits than its factorization.

256773417049800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7257 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 256773417049800 in words is "two hundred fifty-six trillion, seven hundred seventy-three billion, four hundred seventeen million, forty-nine thousand, eight hundred".