126840890880 has 960 divisors, whose sum is σ = 499507886592. Its totient is φ = 29479403520.

The previous prime is 126840890879. The next prime is 126840890999. The reversal of 126840890880 is 88098048621.

126840890880 is a `hidden beast` number, since 12 + 68 + 408 + 90 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×126840890880² (a number of 23 digits) contains 22 as substring.

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, 1122485704 + ... + 1122485816.

Almost surely, 2^126840890880 is an apocalyptic number.

126840890880 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 126840890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249753943296).

126840890880 is an abundant number, since it is smaller than the sum of its proper divisors (372666995712).

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

126840890880 is a wasteful number, since it uses less digits than its factorization.

126840890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 126840890880 in words is "one hundred twenty-six billion, eight hundred forty million, eight hundred ninety thousand, eight hundred eighty".