54091072752192 has 560 divisors, whose sum is σ = 189643286448000. Its totient is φ = 14915745202176.

The previous prime is 54091072752181. The next prime is 54091072752247. The reversal of 54091072752192 is 29125727019045.

54091072752192 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 1 + 0 + 7 + 27 + 521 + 92 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3092853784 + ... + 3092871272.

It is an arithmetic number, because the mean of its divisors is an integer number (338648725800).

Almost surely, 2^{54091072752192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54091072752192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94821643224000).

54091072752192 is an abundant number, since it is smaller than the sum of its proper divisors (135552213695808).

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

54091072752192 is a wasteful number, since it uses less digits than its factorization.

54091072752192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20488 (or 20469 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 54091072752192 in words is "fifty-four trillion, ninety-one billion, seventy-two million, seven hundred fifty-two thousand, one hundred ninety-two".