54497247235200 has 1152 divisors, whose sum is σ = 256703444749440. Its totient is φ = 10657972224000.

The previous prime is 54497247235133. The next prime is 54497247235213. The reversal of 54497247235200 is 253274279445.

54497247235200 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 72 + 47 + 2 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 36976410 + ... + 38421990.

It is an arithmetic number, because the mean of its divisors is an integer number (222832851345).

Almost surely, 2^{54497247235200} is an apocalyptic number.

54497247235200 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 54497247235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128351722374720).

54497247235200 is an abundant number, since it is smaller than the sum of its proper divisors (202206197514240).

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

54497247235200 is a wasteful number, since it uses less digits than its factorization.

54497247235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445646 (or 1445626 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 54497247235200 in words is "fifty-four trillion, four hundred ninety-seven billion, two hundred forty-seven million, two hundred thirty-five thousand, two hundred".