54452838720 has 448 divisors, whose sum is σ = 220228485120. Its totient is φ = 11097243648.

The previous prime is 54452838719. The next prime is 54452838743. The reversal of 54452838720 is 2783825445.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×54452838720² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54452838720.

It is a congruent number.

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, 2158017 + ... + 2183103.

It is an arithmetic number, because the mean of its divisors is an integer number (491581440).

Almost surely, 2^54452838720 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 54452838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110114242560).

54452838720 is an abundant number, since it is smaller than the sum of its proper divisors (165775646400).

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

54452838720 is a wasteful number, since it uses less digits than its factorization.

54452838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25150 (or 25140 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 54452838720 in words is "fifty-four billion, four hundred fifty-two million, eight hundred thirty-eight thousand, seven hundred twenty".