126540088012800 has 3120 divisors, whose sum is σ = 587549630131200. Its totient is φ = 26152442265600.

The previous prime is 126540088012777. The next prime is 126540088012841. The reversal of 126540088012800 is 8210880045621.

126540088012800 is a `hidden beast` number, since 1 + 2 + 6 + 540 + 0 + 8 + 80 + 1 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 152641842786 + ... + 152641843614.

Almost surely, 2^{126540088012800} is an apocalyptic number.

126540088012800 is a gapful number since it is divisible by the number (10) 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 126540088012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293774815065600).

126540088012800 is an abundant number, since it is smaller than the sum of its proper divisors (461009542118400).

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

126540088012800 is a wasteful number, since it uses less digits than its factorization.

126540088012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 126540088012800 in words is "one hundred twenty-six trillion, five hundred forty billion, eighty-eight million, twelve thousand, eight hundred".