126113375606400 has 4608 divisors, whose sum is σ = 623223206161920. Its totient is φ = 24422960332800.

The previous prime is 126113375606263. The next prime is 126113375606443. The reversal of 126113375606400 is 4606573311621.

126113375606400 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 1 + 3 + 37 + 5 + 606 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 49320833922 + ... + 49320836478.

It is an arithmetic number, because the mean of its divisors is an integer number (135248091615).

Almost surely, 2^{126113375606400} is an apocalyptic number.

126113375606400 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 126113375606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311611603080960).

126113375606400 is an abundant number, since it is smaller than the sum of its proper divisors (497109830555520).

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

126113375606400 is a wasteful number, since it uses less digits than its factorization.

126113375606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 126113375606400 in words is "one hundred twenty-six trillion, one hundred thirteen billion, three hundred seventy-five million, six hundred six thousand, four hundred".