126846078429600 has 1152 divisors, whose sum is σ = 481748366131200. Its totient is φ = 32172186009600.

The previous prime is 126846078429599. The next prime is 126846078429611. The reversal of 126846078429600 is 6924870648621.

126846078429600 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 460 + 7 + 84 + 2 + 96 + 0 + 0 = 666.

It is a super-2 number, since 2×126846078429600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11796337824 + ... + 11796348576.

It is an arithmetic number, because the mean of its divisors is an integer number (418184345600).

Almost surely, 2^{126846078429600} is an apocalyptic number.

126846078429600 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 126846078429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240874183065600).

126846078429600 is an abundant number, since it is smaller than the sum of its proper divisors (354902287701600).

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

126846078429600 is a wasteful number, since it uses less digits than its factorization.

126846078429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11115 (or 11096 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 126846078429600 in words is "one hundred twenty-six trillion, eight hundred forty-six billion, seventy-eight million, four hundred twenty-nine thousand, six hundred".