540946123200 has 1680 divisors, whose sum is σ = 2381122796800. Its totient is φ = 120342620160.

The previous prime is 540946123177. The next prime is 540946123217. The reversal of 540946123200 is 2321649045.

It is a happy number.

540946123200 is a `hidden beast` number, since 5 + 4 + 0 + 9 + 4 + 612 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1911470259 + ... + 1911470541.

Almost surely, 2^540946123200 is an apocalyptic number.

540946123200 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 540946123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190561398400).

540946123200 is an abundant number, since it is smaller than the sum of its proper divisors (1840176673600).

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

540946123200 is a wasteful number, since it uses less digits than its factorization.

540946123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 540946123200 in words is "five hundred forty billion, nine hundred forty-six million, one hundred twenty-three thousand, two hundred".