126461068473600 has 3456 divisors, whose sum is σ = 582117302108160. Its totient is φ = 26197032960000.

The previous prime is 126461068473559. The next prime is 126461068473613. The reversal of 126461068473600 is 6374860164621.

126461068473600 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 6 + 106 + 8 + 473 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 180400953250 + ... + 180400953950.

It is an arithmetic number, because the mean of its divisors is an integer number (168436719360).

Almost surely, 2^{126461068473600} is an apocalyptic number.

126461068473600 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 126461068473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291058651054080).

126461068473600 is an abundant number, since it is smaller than the sum of its proper divisors (455656233634560).

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

126461068473600 is a wasteful number, since it uses less digits than its factorization.

126461068473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 126461068473600 in words is "one hundred twenty-six trillion, four hundred sixty-one billion, sixty-eight million, four hundred seventy-three thousand, six hundred".