126474734880 has 384 divisors, whose sum is σ = 482615159040. Its totient is φ = 31131122688.

The previous prime is 126474734863. The next prime is 126474734933. The reversal of 126474734880 is 88437474621.

126474734880 is a `hidden beast` number, since 1 + 26 + 4 + 74 + 73 + 488 + 0 = 666.

It is a super-2 number, since 2×126474734880² (a number of 23 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 4535059 + ... + 4562861.

It is an arithmetic number, because the mean of its divisors is an integer number (1256810310).

Almost surely, 2^126474734880 is an apocalyptic number.

126474734880 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 126474734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241307579520).

126474734880 is an abundant number, since it is smaller than the sum of its proper divisors (356140424160).

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

126474734880 is an equidigital number, since it uses as much as digits as its factorization.

126474734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27852 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 126474734880 in words is "one hundred twenty-six billion, four hundred seventy-four million, seven hundred thirty-four thousand, eight hundred eighty".