42875654557760 has 224 divisors, whose sum is σ = 104619204771840. Its totient is φ = 16732477798400.

The previous prime is 42875654557709. The next prime is 42875654557783. The reversal of 42875654557760 is 6775545657824.

It is a super-2 number, since 2×42875654557760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (71).

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 31 ways as a sum of consecutive naturals, for example, 1068478817 + ... + 1068518943.

Almost surely, 2^{42875654557760} is an apocalyptic number.

42875654557760 is a gapful number since it is divisible by the number (40) 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 42875654557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52309602385920).

42875654557760 is an abundant number, since it is smaller than the sum of its proper divisors (61743550214080).

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

42875654557760 is a wasteful number, since it uses less digits than its factorization.

42875654557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40705 (or 40695 counting only the distinct ones).

The product of its (nonzero) digits is 1975680000, while the sum is 71.

The spelling of 42875654557760 in words is "forty-two trillion, eight hundred seventy-five billion, six hundred fifty-four million, five hundred fifty-seven thousand, seven hundred sixty".