126887694940160 has 1536 divisors, whose sum is σ = 397376766259200. Its totient is φ = 37753454592000.

The previous prime is 126887694940141. The next prime is 126887694940177. The reversal of 126887694940160 is 61049496788621.

It is a super-2 number, since 2×126887694940160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249288201986 + ... + 249288202494.

It is an arithmetic number, because the mean of its divisors is an integer number (258708832200).

Almost surely, 2^{126887694940160} is an apocalyptic number.

126887694940160 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 126887694940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198688383129600).

126887694940160 is an abundant number, since it is smaller than the sum of its proper divisors (270489071319040).

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

126887694940160 is a wasteful number, since it uses less digits than its factorization.

126887694940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 71.

The spelling of 126887694940160 in words is "one hundred twenty-six trillion, eight hundred eighty-seven billion, six hundred ninety-four million, nine hundred forty thousand, one hundred sixty".