54253078843392 has 1872 divisors, whose sum is σ = 194458573108800. Its totient is φ = 14980562288640.

The previous prime is 54253078843351. The next prime is 54253078843417. The reversal of 54253078843392 is 29334887035245.

54253078843392 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 30 + 7 + 88 + 433 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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, 201684307834 + ... + 201684308102.

It is an arithmetic number, because the mean of its divisors is an integer number (103877442900).

Almost surely, 2^{54253078843392} is an apocalyptic number.

54253078843392 is a gapful number since it is divisible by the number (52) 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 54253078843392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97229286554400).

54253078843392 is an abundant number, since it is smaller than the sum of its proper divisors (140205494265408).

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

54253078843392 is a wasteful number, since it uses less digits than its factorization.

54253078843392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 54253078843392 in words is "fifty-four trillion, two hundred fifty-three billion, seventy-eight million, eight hundred forty-three thousand, three hundred ninety-two".