126520089696 has 1440 divisors, whose sum is σ = 522827053056. Its totient is φ = 29355955200.

The previous prime is 126520089679. The next prime is 126520089737. The reversal of 126520089696 is 696980025621.

It is a happy number.

126520089696 is a `hidden beast` number, since 1 + 26 + 520 + 0 + 8 + 9 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4081293201 + ... + 4081293231.

Almost surely, 2^126520089696 is an apocalyptic number.

126520089696 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 126520089696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261413526528).

126520089696 is an abundant number, since it is smaller than the sum of its proper divisors (396306963360).

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

126520089696 is a wasteful number, since it uses less digits than its factorization.

126520089696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

It can be divided in two parts, 1265200 and 89696, that added together give a square (1354896 = 1164²).

The spelling of 126520089696 in words is "one hundred twenty-six billion, five hundred twenty million, eighty-nine thousand, six hundred ninety-six".