54149212800 has 960 divisors, whose sum is σ = 215971176960. Its totient is φ = 13320806400.

The previous prime is 54149212781. The next prime is 54149212801. The reversal of 54149212800 is 821294145.

54149212800 is a `hidden beast` number, since 5 + 41 + 492 + 128 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (54149212801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 184809454 + ... + 184809746.

It is an arithmetic number, because the mean of its divisors is an integer number (224969976).

Almost surely, 2^54149212800 is an apocalyptic number.

54149212800 is a gapful number since it is divisible by the number (50) 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 54149212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107985588480).

54149212800 is an abundant number, since it is smaller than the sum of its proper divisors (161821964160).

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

54149212800 is a wasteful number, since it uses less digits than its factorization.

54149212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 54149212800 in words is "fifty-four billion, one hundred forty-nine million, two hundred twelve thousand, eight hundred".