542265145543800 has 768 divisors, whose sum is σ = 2279472675840000. Its totient is φ = 115811903692800.

The previous prime is 542265145543753. The next prime is 542265145543819. The reversal of 542265145543800 is 8345541562245.

542265145543800 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 6 + 5 + 1 + 4 + 554 + 3 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26003536 + ... + 41960864.

It is an arithmetic number, because the mean of its divisors is an integer number (2968063380000).

Almost surely, 2^{542265145543800} is an apocalyptic number.

542265145543800 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 542265145543800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139736337920000).

542265145543800 is an abundant number, since it is smaller than the sum of its proper divisors (1737207530296200).

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

542265145543800 is a wasteful number, since it uses less digits than its factorization.

542265145543800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957421 (or 15957406 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 542265145543800 in words is "five hundred forty-two trillion, two hundred sixty-five billion, one hundred forty-five million, five hundred forty-three thousand, eight hundred".