126820699488 has 720 divisors, whose sum is σ = 454196879136. Its totient is φ = 33995427840.

The previous prime is 126820699477. The next prime is 126820699507. The reversal of 126820699488 is 884996028621.

126820699488 is a `hidden beast` number, since 1 + 2 + 68 + 2 + 0 + 6 + 99 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 700666758 + ... + 700666938.

Almost surely, 2^126820699488 is an apocalyptic number.

126820699488 is a gapful number since it is divisible by the number (18) 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 126820699488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227098439568).

126820699488 is an abundant number, since it is smaller than the sum of its proper divisors (327376179648).

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

126820699488 is a wasteful number, since it uses less digits than its factorization.

126820699488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 126820699488 in words is "one hundred twenty-six billion, eight hundred twenty million, six hundred ninety-nine thousand, four hundred eighty-eight".