126892688400 has 225 divisors, whose sum is σ = 455637912301. Its totient is φ = 33820951680.

The previous prime is 126892688387. The next prime is 126892688459. The reversal of 126892688400 is 4886298621.

The square root of 126892688400 is 356220.

It is a perfect power (a square), and thus also a powerful number.

126892688400 is a `hidden beast` number, since 12 + 68 + 92 + 6 + 88 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45681367824 + 81211320576 = 213732^2 + 284976^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×126892688400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 64118611 + ... + 64120589.

Almost surely, 2^126892688400 is an apocalyptic number.

126892688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126892688400 is the 356220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126892688400

126892688400 is an abundant number, since it is smaller than the sum of its proper divisors (328745223901).

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

126892688400 is an frugal number, since it uses more digits than its factorization.

126892688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 126892688400 in words is "one hundred twenty-six billion, eight hundred ninety-two million, six hundred eighty-eight thousand, four hundred".