42753765120 has 288 divisors, whose sum is σ = 157722888960. Its totient is φ = 9754705920.

The previous prime is 42753765079. The next prime is 42753765121. The reversal of 42753765120 is 2156735724.

It is a super-2 number, since 2×42753765120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42753765121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688311 + ... + 747849.

It is an arithmetic number, because the mean of its divisors is an integer number (547648920).

Almost surely, 2^42753765120 is an apocalyptic number.

42753765120 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 42753765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78861444480).

42753765120 is an abundant number, since it is smaller than the sum of its proper divisors (114969123840).

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

42753765120 is a wasteful number, since it uses less digits than its factorization.

42753765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59591 (or 59577 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 42753765120 in words is "forty-two billion, seven hundred fifty-three million, seven hundred sixty-five thousand, one hundred twenty".