54199920 has 80 divisors (see below), whose sum is σ = 171230112. Its totient is φ = 14177280.

The previous prime is 54199919. The next prime is 54199921. The reversal of 54199920 is 2999145.

It is an interprime number because it is at equal distance from previous prime (54199919) and next prime (54199921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54199921) 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, 10590 + ... + 14850.

Almost surely, 2^54199920 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 54199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85615056).

54199920 is an abundant number, since it is smaller than the sum of its proper divisors (117030192).

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

54199920 is a wasteful number, since it uses less digits than its factorization.

54199920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 54199920 is about 7362.0594944621. The cubic root of 54199920 is about 378.4421912856.

The spelling of 54199920 in words is "fifty-four million, one hundred ninety-nine thousand, nine hundred twenty".