126775353600 has 324 divisors, whose sum is σ = 518002220736. Its totient is φ = 28977131520.

The previous prime is 126775353547. The next prime is 126775353659. The reversal of 126775353600 is 6353577621.

126775353600 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 7 + 5 + 35 + 3 + 600 = 666.

It is a super-3 number, since 3×126775353600³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245989 + ... + 560411.

Almost surely, 2^126775353600 is an apocalyptic number.

126775353600 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 126775353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259001110368).

126775353600 is an abundant number, since it is smaller than the sum of its proper divisors (391226867136).

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

126775353600 is a wasteful number, since it uses less digits than its factorization.

126775353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314462 (or 314440 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 126775353600 in words is "one hundred twenty-six billion, seven hundred seventy-five million, three hundred fifty-three thousand, six hundred".