126355662720 has 768 divisors, whose sum is σ = 528956006400. Its totient is φ = 27923927040.

The previous prime is 126355662701. The next prime is 126355662743. The reversal of 126355662720 is 27266553621.

126355662720 is a `hidden beast` number, since 1 + 2 + 63 + 5 + 566 + 2 + 7 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 116242017 + ... + 116243103.

It is an arithmetic number, because the mean of its divisors is an integer number (688744800).

Almost surely, 2^126355662720 is an apocalyptic number.

126355662720 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 126355662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264478003200).

126355662720 is an abundant number, since it is smaller than the sum of its proper divisors (402600343680).

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

126355662720 is a wasteful number, since it uses less digits than its factorization.

126355662720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 126355662720 in words is "one hundred twenty-six billion, three hundred fifty-five million, six hundred sixty-two thousand, seven hundred twenty".