54658161792 has 192 divisors, whose sum is σ = 173963058360. Its totient is φ = 16363192320.

The previous prime is 54658161769. The next prime is 54658161797. The reversal of 54658161792 is 29716185645.

It is a happy number.

54658161792 is a `hidden beast` number, since 5 + 46 + 581 + 6 + 17 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49614889536 + 5043272256 = 222744^2 + 71016^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (54658161797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504792 + ... + 603432.

Almost surely, 2^54658161792 is an apocalyptic number.

54658161792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54658161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86981529180).

54658161792 is an abundant number, since it is smaller than the sum of its proper divisors (119304896568).

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

54658161792 is a wasteful number, since it uses less digits than its factorization.

54658161792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98711 (or 98696 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 54658161792 in words is "fifty-four billion, six hundred fifty-eight million, one hundred sixty-one thousand, seven hundred ninety-two".