126379987776 has 672 divisors, whose sum is σ = 481804675200. Its totient is φ = 32188907520.

The previous prime is 126379987751. The next prime is 126379987781. The reversal of 126379987776 is 677789973621.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27346746 + ... + 27351366.

Almost surely, 2^126379987776 is an apocalyptic number.

126379987776 is a gapful number since it is divisible by the number (16) 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 126379987776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240902337600).

126379987776 is an abundant number, since it is smaller than the sum of its proper divisors (355424687424).

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

126379987776 is a wasteful number, since it uses less digits than its factorization.

126379987776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4669 counting only the distinct ones).

The product of its digits is 336063168, while the sum is 72.

The spelling of 126379987776 in words is "one hundred twenty-six billion, three hundred seventy-nine million, nine hundred eighty-seven thousand, seven hundred seventy-six".