126593546880 has 256 divisors, whose sum is σ = 420260400000. Its totient is φ = 32373325824.

The previous prime is 126593546861. The next prime is 126593546903. The reversal of 126593546880 is 88645395621.

It is a super-2 number, since 2×126593546880² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 126593546880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8288691 + ... + 8303949.

Almost surely, 2^126593546880 is an apocalyptic number.

126593546880 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 126593546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210130200000).

126593546880 is an abundant number, since it is smaller than the sum of its proper divisors (293666853120).

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

126593546880 is a wasteful number, since it uses less digits than its factorization.

126593546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15459 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 126593546880 in words is "one hundred twenty-six billion, five hundred ninety-three million, five hundred forty-six thousand, eight hundred eighty".