54025623319680 has 512 divisors, whose sum is σ = 192410303040000. Its totient is φ = 14326384951296.

The previous prime is 54025623319667. The next prime is 54025623319691. The reversal of 54025623319680 is 8691332652045.

It is a happy number.

54025623319680 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 5 + 623 + 3 + 1 + 9 + 6 + 8 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 8503951384 + ... + 8503957736.

It is an arithmetic number, because the mean of its divisors is an integer number (375801373125).

Almost surely, 2^{54025623319680} 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 54025623319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96205151520000).

54025623319680 is an abundant number, since it is smaller than the sum of its proper divisors (138384679720320).

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

54025623319680 is a wasteful number, since it uses less digits than its factorization.

54025623319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9053 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 54025623319680 in words is "fifty-four trillion, twenty-five billion, six hundred twenty-three million, three hundred nineteen thousand, six hundred eighty".