54200261040 has 160 divisors (see below), whose sum is σ = 175139385600. Its totient is φ = 13852726272.

The previous prime is 54200260997. The next prime is 54200261083. The reversal of 54200261040 is 4016200245.

54200261040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54200260997) and next prime (54200261083).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54200261040.

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, 549411 + ... + 640509.

It is an arithmetic number, because the mean of its divisors is an integer number (1094621160).

Almost surely, 2^54200261040 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 54200261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87569692800).

54200261040 is an abundant number, since it is smaller than the sum of its proper divisors (120939124560).

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

54200261040 is a wasteful number, since it uses less digits than its factorization.

54200261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91219 (or 91213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 54200261040 its reverse (4016200245), we get a palindrome (58216461285).

The spelling of 54200261040 in words is "fifty-four billion, two hundred million, two hundred sixty-one thousand, forty".