42695795520 has 224 divisors, whose sum is σ = 172138848000. Its totient is φ = 9759025152.

The previous prime is 42695795497. The next prime is 42695795533. The reversal of 42695795520 is 2559759624.

42695795520 is a `hidden beast` number, since 4 + 2 + 69 + 57 + 9 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 292495 + ... + 413454.

It is an arithmetic number, because the mean of its divisors is an integer number (768477000).

Almost surely, 2^42695795520 is an apocalyptic number.

42695795520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42695795520 is an abundant number, since it is smaller than the sum of its proper divisors (129443052480).

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

42695795520 is a wasteful number, since it uses less digits than its factorization.

42695795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705982 (or 705966 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 42695795520 in words is "forty-two billion, six hundred ninety-five million, seven hundred ninety-five thousand, five hundred twenty".