54214145798400 has 1296 divisors, whose sum is σ = 227359916784000. Its totient is φ = 12069161533440.

The previous prime is 54214145798399. The next prime is 54214145798411. The reversal of 54214145798400 is 489754141245.

54214145798400 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 4 + 145 + 7 + 98 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2404270326 + ... + 2404292874.

Almost surely, 2^{54214145798400} is an apocalyptic number.

54214145798400 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 54214145798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113679958392000).

54214145798400 is an abundant number, since it is smaller than the sum of its proper divisors (173145770985600).

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

54214145798400 is a wasteful number, since it uses less digits than its factorization.

54214145798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22744 (or 22722 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 54214145798400 in words is "fifty-four trillion, two hundred fourteen billion, one hundred forty-five million, seven hundred ninety-eight thousand, four hundred".