126892376064 has 308 divisors, whose sum is σ = 385087347036. Its totient is φ = 41787850752.

The previous prime is 126892376057. The next prime is 126892376077. The reversal of 126892376064 is 460673298621.

126892376064 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 9 + 23 + 7 + 606 + 4 = 666.

It is a super-2 number, since 2×126892376064² (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 self number, because there is not a number n which added to its sum of digits gives 126892376064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1528823767 + ... + 1528823849.

Almost surely, 2^126892376064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126892376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192543673518).

126892376064 is an abundant number, since it is smaller than the sum of its proper divisors (258194970972).

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

126892376064 is an frugal number, since it uses more digits than its factorization.

126892376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 126892376064 in words is "one hundred twenty-six billion, eight hundred ninety-two million, three hundred seventy-six thousand, sixty-four".