54036692656128 has 1344 divisors, whose sum is σ = 202082821355520. Its totient is φ = 13889852669952.

The previous prime is 54036692656127. The next prime is 54036692656187. The reversal of 54036692656128 is 82165629663045.

54036692656128 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 6 + 6 + 9 + 2 + 6 + 5 + 612 + 8 = 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54036692656127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226094948233 + ... + 226094948471.

It is an arithmetic number, because the mean of its divisors is an integer number (150359242080).

Almost surely, 2^{54036692656128} 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 54036692656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101041410677760).

54036692656128 is an abundant number, since it is smaller than the sum of its proper divisors (148046128699392).

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

54036692656128 is an equidigital number, since it uses as much as digits as its factorization.

54036692656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 54036692656128 in words is "fifty-four trillion, thirty-six billion, six hundred ninety-two million, six hundred fifty-six thousand, one hundred twenty-eight".