54125603500320 has 576 divisors, whose sum is σ = 201906496157184. Its totient is φ = 13094588252160.

The previous prime is 54125603500303. The next prime is 54125603500337. The reversal of 54125603500320 is 2300530652145.

54125603500320 is a `hidden beast` number, since 5 + 4 + 1 + 25 + 603 + 5 + 0 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (54125603500303) and next prime (54125603500337).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27157853244 + ... + 27157855236.

It is an arithmetic number, because the mean of its divisors is an integer number (350532111384).

Almost surely, 2^{54125603500320} 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 54125603500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100953248078592).

54125603500320 is an abundant number, since it is smaller than the sum of its proper divisors (147780892656864).

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

54125603500320 is a wasteful number, since it uses less digits than its factorization.

54125603500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 54125603500320 in words is "fifty-four trillion, one hundred twenty-five billion, six hundred three million, five hundred thousand, three hundred twenty".