126043477560 has 1536 divisors, whose sum is σ = 594397440000. Its totient is φ = 22295347200.

The previous prime is 126043477559. The next prime is 126043477597. The reversal of 126043477560 is 65774340621.

126043477560 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 43 + 47 + 7 + 560 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 280720216 + ... + 280720664.

It is an arithmetic number, because the mean of its divisors is an integer number (386977500).

Almost surely, 2^126043477560 is an apocalyptic number.

126043477560 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 126043477560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720000).

126043477560 is an abundant number, since it is smaller than the sum of its proper divisors (468353962440).

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

126043477560 is a wasteful number, since it uses less digits than its factorization.

126043477560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 126043477560 in words is "one hundred twenty-six billion, forty-three million, four hundred seventy-seven thousand, five hundred sixty".