126995420160 has 704 divisors, whose sum is σ = 518791680000. Its totient is φ = 28859203584.

The previous prime is 126995420131. The next prime is 126995420203. The reversal of 126995420160 is 61024599621.

126995420160 is a `hidden beast` number, since 1 + 2 + 6 + 99 + 542 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×126995420160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254499591 + ... + 254500089.

It is an arithmetic number, because the mean of its divisors is an integer number (736920000).

Almost surely, 2^126995420160 is an apocalyptic number.

126995420160 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 126995420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259395840000).

126995420160 is an abundant number, since it is smaller than the sum of its proper divisors (391796259840).

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

126995420160 is a wasteful number, since it uses less digits than its factorization.

126995420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 126995420160 in words is "one hundred twenty-six billion, nine hundred ninety-five million, four hundred twenty thousand, one hundred sixty".