126525110400 has 480 divisors, whose sum is σ = 502834678500. Its totient is φ = 31143813120.

The previous prime is 126525110377. The next prime is 126525110429. The reversal of 126525110400 is 4011525621.

126525110400 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 251 + 1 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14096337984 + 112428772416 = 118728^2 + 335304^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3350826 + ... + 3388374.

Almost surely, 2^126525110400 is an apocalyptic number.

126525110400 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 126525110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251417339250).

126525110400 is an abundant number, since it is smaller than the sum of its proper divisors (376309568100).

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

126525110400 is a wasteful number, since it uses less digits than its factorization.

126525110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37598 (or 37572 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 126525110400 in words is "one hundred twenty-six billion, five hundred twenty-five million, one hundred ten thousand, four hundred".