54199031040 has 1728 divisors, whose sum is σ = 253703503872. Its totient is φ = 10749542400.

The previous prime is 54199031027. The next prime is 54199031063. The reversal of 54199031040 is 4013099145.

It is a happy number.

54199031040 is a `hidden beast` number, since 541 + 9 + 9 + 0 + 3 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54199030986 and 54199031004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742452444 + ... + 742452516.

Almost surely, 2^54199031040 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 54199031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126851751936).

54199031040 is an abundant number, since it is smaller than the sum of its proper divisors (199504472832).

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

54199031040 is a wasteful number, since it uses less digits than its factorization.

54199031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 54199031040 in words is "fifty-four billion, one hundred ninety-nine million, thirty-one thousand, forty".