126973770560 has 896 divisors, whose sum is σ = 409241548800. Its totient is φ = 37196070912.

The previous prime is 126973770557. The next prime is 126973770569. The reversal of 126973770560 is 65077379621.

It is a super-2 number, since 2×126973770560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126973770569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1739366684 + ... + 1739366756.

It is an arithmetic number, because the mean of its divisors is an integer number (456742800).

Almost surely, 2^126973770560 is an apocalyptic number.

126973770560 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 126973770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204620774400).

126973770560 is an abundant number, since it is smaller than the sum of its proper divisors (282267778240).

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

126973770560 is a wasteful number, since it uses less digits than its factorization.

126973770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 53.

The spelling of 126973770560 in words is "one hundred twenty-six billion, nine hundred seventy-three million, seven hundred seventy thousand, five hundred sixty".