54299938560 has 288 divisors, whose sum is σ = 199634373120. Its totient is φ = 12321275904.

The previous prime is 54299938549. The next prime is 54299938571. The reversal of 54299938560 is 6583999245.

It is an interprime number because it is at equal distance from previous prime (54299938549) and next prime (54299938571).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 54299938494 and 54299938503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3729054 + ... + 3743586.

Almost surely, 2^54299938560 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 54299938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99817186560).

54299938560 is an abundant number, since it is smaller than the sum of its proper divisors (145334434560).

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

54299938560 is a wasteful number, since it uses less digits than its factorization.

54299938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703 (or 14689 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 54299938560 in words is "fifty-four billion, two hundred ninety-nine million, nine hundred thirty-eight thousand, five hundred sixty".