54150819840 has 936 divisors, whose sum is σ = 216673312128. Its totient is φ = 12899450880.

The previous prime is 54150819839. The next prime is 54150819881. The reversal of 54150819840 is 4891805145.

It is a happy number.

54150819840 is a `hidden beast` number, since 5 + 415 + 0 + 8 + 198 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×54150819840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1746800625 + ... + 1746800655.

Almost surely, 2^54150819840 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 54150819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108336656064).

54150819840 is an abundant number, since it is smaller than the sum of its proper divisors (162522492288).

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

54150819840 is an frugal number, since it uses more digits than its factorization.

54150819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 54150819840 in words is "fifty-four billion, one hundred fifty million, eight hundred nineteen thousand, eight hundred forty".