37725805242405 has 144 divisors (see below), whose sum is σ = 80265527282304. Its totient is φ = 16651386743040.

The previous prime is 37725805242287. The next prime is 37725805242407. The reversal of 37725805242405 is 50424250852773.

37725805242405 is a `hidden beast` number, since 3 + 7 + 7 + 2 + 580 + 52 + 4 + 2 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 37725805242405 - 2¹⁶ = 37725805176869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37725805242407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4515535 + ... + 9789875.

It is an arithmetic number, because the mean of its divisors is an integer number (557399495016).

Almost surely, 2^{37725805242405} is an apocalyptic number.

37725805242405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

37725805242405 is an abundant number, since it is smaller than the sum of its proper divisors (42539722039899).

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

37725805242405 is an equidigital number, since it uses as much as digits as its factorization.

37725805242405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274426 (or 5274385 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 37725805242405 in words is "thirty-seven trillion, seven hundred twenty-five billion, eight hundred five million, two hundred forty-two thousand, four hundred five".