54695123072 has 128 divisors (see below), whose sum is σ = 118680508800. Its totient is φ = 25021440000.

The previous prime is 54695123071. The next prime is 54695123239. The reversal of 54695123072 is 27032159645.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×54695123072² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54695123071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10068197 + ... + 10073627.

It is an arithmetic number, because the mean of its divisors is an integer number (927191475).

Almost surely, 2^54695123072 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 54695123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59340254400).

54695123072 is an abundant number, since it is smaller than the sum of its proper divisors (63985385728).

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

54695123072 is a wasteful number, since it uses less digits than its factorization.

54695123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 54695123072 in words is "fifty-four billion, six hundred ninety-five million, one hundred twenty-three thousand, seventy-two".