126992789495520 has 2304 divisors, whose sum is σ = 489165317222400. Its totient is φ = 27461327781888.

The previous prime is 126992789495459. The next prime is 126992789495567. The reversal of 126992789495520 is 25594987299621.

It is a super-2 number, since 2×126992789495520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 282834720256 + ... + 282834720704.

It is an arithmetic number, because the mean of its divisors is an integer number (212311335600).

Almost surely, 2^{126992789495520} is an apocalyptic number.

126992789495520 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 126992789495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244582658611200).

126992789495520 is an abundant number, since it is smaller than the sum of its proper divisors (362172527726880).

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

126992789495520 is a wasteful number, since it uses less digits than its factorization.

126992789495520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 78.

The spelling of 126992789495520 in words is "one hundred twenty-six trillion, nine hundred ninety-two billion, seven hundred eighty-nine million, four hundred ninety-five thousand, five hundred twenty".