126601574400 has 1440 divisors, whose sum is σ = 552972420000. Its totient is φ = 28612362240.

The previous prime is 126601574353. The next prime is 126601574431. The reversal of 126601574400 is 4475106621.

126601574400 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 157 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 1422489556 + ... + 1422489644.

It is an arithmetic number, because the mean of its divisors is an integer number (384008625).

Almost surely, 2^126601574400 is an apocalyptic number.

126601574400 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 126601574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276486210000).

126601574400 is an abundant number, since it is smaller than the sum of its proper divisors (426370845600).

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

126601574400 is an frugal number, since it uses more digits than its factorization.

126601574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 126601574400 in words is "one hundred twenty-six billion, six hundred one million, five hundred seventy-four thousand, four hundred".