54635837522112 has 1344 divisors, whose sum is σ = 206432837222400. Its totient is φ = 14010953564160.

The previous prime is 54635837522087. The next prime is 54635837522141. The reversal of 54635837522112 is 21122573853645.

54635837522112 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 58 + 375 + 2 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 27087672528 + ... + 27087674544.

Almost surely, 2^{54635837522112} 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 54635837522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103216418611200).

54635837522112 is an abundant number, since it is smaller than the sum of its proper divisors (151796999700288).

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

54635837522112 is a wasteful number, since it uses less digits than its factorization.

54635837522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2396 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 54635837522112 in words is "fifty-four trillion, six hundred thirty-five billion, eight hundred thirty-seven million, five hundred twenty-two thousand, one hundred twelve".