545726094107040 has 768 divisors, whose sum is σ = 2458168024596480. Its totient is φ = 109739639808000.

The previous prime is 545726094107011. The next prime is 545726094107053. The reversal of 545726094107040 is 40701490627545.

545726094107040 is a `hidden beast` number, since 5 + 4 + 572 + 60 + 9 + 4 + 1 + 0 + 7 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 16149301 + ... + 36772980.

It is an arithmetic number, because the mean of its divisors is an integer number (3200739615360).

Almost surely, 2^{545726094107040} is an apocalyptic number.

It is an amenable number.

545726094107040 is an abundant number, since it is smaller than the sum of its proper divisors (1912441930489440).

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

545726094107040 is a wasteful number, since it uses less digits than its factorization.

545726094107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52922354 (or 52922340 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 545726094107040 in words is "five hundred forty-five trillion, seven hundred twenty-six billion, ninety-four million, one hundred seven thousand, forty".