540666126000 has 1920 divisors, whose sum is σ = 2607165130752. Its totient is φ = 100776960000.

The previous prime is 540666125999. The next prime is 540666126053. The reversal of 540666126000 is 621666045.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 666665595 + ... + 666666405.

Almost surely, 2^540666126000 is an apocalyptic number.

540666126000 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 540666126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303582565376).

540666126000 is an abundant number, since it is smaller than the sum of its proper divisors (2066499004752).

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

540666126000 is a wasteful number, since it uses less digits than its factorization.

540666126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 889 counting only the distinct ones).

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

It can be divided in two parts, 540666 and 126000, that added together give a palindrome (666666).

The spelling of 540666126000 in words is "five hundred forty billion, six hundred sixty-six million, one hundred twenty-six thousand".