54052125980160 has 3840 divisors, whose sum is σ = 236614655692800. Its totient is φ = 10491199488000.

The previous prime is 54052125980063. The next prime is 54052125980179. The reversal of 54052125980160 is 6108952125045.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 535169564110 + ... + 535169564210.

It is an arithmetic number, because the mean of its divisors is an integer number (61618399920).

Almost surely, 2^{54052125980160} 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 54052125980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118307327846400).

54052125980160 is an abundant number, since it is smaller than the sum of its proper divisors (182562529712640).

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

54052125980160 is a wasteful number, since it uses less digits than its factorization.

54052125980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 54052125980160 in words is "fifty-four trillion, fifty-two billion, one hundred twenty-five million, nine hundred eighty thousand, one hundred sixty".