54275406900 has 576 divisors, whose sum is σ = 195623479296. Its totient is φ = 11430144000.

The previous prime is 54275406853. The next prime is 54275406907. The reversal of 54275406900 is 960457245.

It is a super-2 number, since 2×54275406900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54275406907) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66108490 + ... + 66109310.

It is an arithmetic number, because the mean of its divisors is an integer number (339624096).

Almost surely, 2^54275406900 is an apocalyptic number.

54275406900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54275406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97811739648).

54275406900 is an abundant number, since it is smaller than the sum of its proper divisors (141348072396).

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

54275406900 is a wasteful number, since it uses less digits than its factorization.

54275406900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 54275406900 in words is "fifty-four billion, two hundred seventy-five million, four hundred six thousand, nine hundred".