126744899400 has 864 divisors, whose sum is σ = 529053370560. Its totient is φ = 27047623680.

The previous prime is 126744899353. The next prime is 126744899461. The reversal of 126744899400 is 4998447621.

126744899400 is a `hidden beast` number, since 1 + 2 + 6 + 74 + 489 + 94 + 0 + 0 = 666.

It is a super-2 number, since 2×126744899400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 87229074 + ... + 87230526.

It is an arithmetic number, because the mean of its divisors is an integer number (612330290).

Almost surely, 2^126744899400 is an apocalyptic number.

126744899400 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 126744899400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264526685280).

126744899400 is an abundant number, since it is smaller than the sum of its proper divisors (402308471160).

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

126744899400 is a wasteful number, since it uses less digits than its factorization.

126744899400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 126744899400 in words is "one hundred twenty-six billion, seven hundred forty-four million, eight hundred ninety-nine thousand, four hundred".