126786400650 has 576 divisors, whose sum is σ = 436479563520. Its totient is φ = 25662873600.

The previous prime is 126786400633. The next prime is 126786400661. The reversal of 126786400650 is 56004687621.

126786400650 is a `hidden beast` number, since 126 + 78 + 6 + 400 + 6 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126786400596 and 126786400605.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 286199329 + ... + 286199771.

It is an arithmetic number, because the mean of its divisors is an integer number (757777020).

Almost surely, 2^126786400650 is an apocalyptic number.

126786400650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126786400650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218239781760).

126786400650 is an abundant number, since it is smaller than the sum of its proper divisors (309693162870).

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

126786400650 is a wasteful number, since it uses less digits than its factorization.

126786400650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 126786400650 in words is "one hundred twenty-six billion, seven hundred eighty-six million, four hundred thousand, six hundred fifty".