126887362560 has 768 divisors, whose sum is σ = 529984166400. Its totient is φ = 27433893888.

The previous prime is 126887362559. The next prime is 126887362601. The reversal of 126887362560 is 65263788621.

126887362560 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 8 + 7 + 3 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×126887362560² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126887362497 and 126887362506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196116157 + ... + 196116803.

It is an arithmetic number, because the mean of its divisors is an integer number (690083550).

Almost surely, 2^126887362560 is an apocalyptic number.

126887362560 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 126887362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264992083200).

126887362560 is an abundant number, since it is smaller than the sum of its proper divisors (403096803840).

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

126887362560 is an equidigital number, since it uses as much as digits as its factorization.

126887362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 126887362560 in words is "one hundred twenty-six billion, eight hundred eighty-seven million, three hundred sixty-two thousand, five hundred sixty".