126093542400 has 1980 divisors, whose sum is σ = 582967021428. Its totient is φ = 26754416640.

The previous prime is 126093542339. The next prime is 126093542429. The reversal of 126093542400 is 4245390621.

It is a happy number.

126093542400 is a `hidden beast` number, since 1 + 2 + 60 + 9 + 354 + 240 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 199148544 + 125894393856 = 14112^2 + 354816^2 .

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 179 ways as a sum of consecutive naturals, for example, 1727308764 + ... + 1727308836.

Almost surely, 2^126093542400 is an apocalyptic number.

126093542400 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 126093542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291483510714).

126093542400 is an abundant number, since it is smaller than the sum of its proper divisors (456873479028).

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

126093542400 is a wasteful number, since it uses less digits than its factorization.

126093542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

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

The spelling of 126093542400 in words is "one hundred twenty-six billion, ninety-three million, five hundred forty-two thousand, four hundred".