126057768480 has 768 divisors, whose sum is σ = 518120064000. Its totient is φ = 28612362240.

The previous prime is 126057768461. The next prime is 126057768497. The reversal of 126057768480 is 84867750621.

126057768480 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 577 + 68 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 357103984 + ... + 357104336.

It is an arithmetic number, because the mean of its divisors is an integer number (674635500).

Almost surely, 2^126057768480 is an apocalyptic number.

126057768480 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 126057768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259060032000).

126057768480 is an abundant number, since it is smaller than the sum of its proper divisors (392062295520).

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

126057768480 is a wasteful number, since it uses less digits than its factorization.

126057768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 126057768480 in words is "one hundred twenty-six billion, fifty-seven million, seven hundred sixty-eight thousand, four hundred eighty".