45893255270400 has 3744 divisors, whose sum is σ = 194052847322880. Its totient is φ = 10688177111040.

The previous prime is 45893255270389. The next prime is 45893255270419. The reversal of 45893255270400 is 407255239854.

45893255270400 is a `hidden beast` number, since 4 + 5 + 8 + 9 + 325 + 5 + 270 + 40 + 0 = 666.

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

It is a congruent number.

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, 515654553556 + ... + 515654553644.

It is an arithmetic number, because the mean of its divisors is an integer number (51830354520).

Almost surely, 2^{45893255270400} is an apocalyptic number.

45893255270400 is a gapful number since it is divisible by the number (40) 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 45893255270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97026423661440).

45893255270400 is an abundant number, since it is smaller than the sum of its proper divisors (148159592052480).

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

45893255270400 is a wasteful number, since it uses less digits than its factorization.

45893255270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 45893255270400 in words is "forty-five trillion, eight hundred ninety-three billion, two hundred fifty-five million, two hundred seventy thousand, four hundred".