42877029888 has 800 divisors, whose sum is σ = 165413698560. Its totient is φ = 10729635840.

The previous prime is 42877029841. The next prime is 42877029901. The reversal of 42877029888 is 88892077824.

42877029888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92606745 + ... + 92607207.

Almost surely, 2^42877029888 is an apocalyptic number.

42877029888 is a gapful number since it is divisible by the number (48) 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 42877029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82706849280).

42877029888 is an abundant number, since it is smaller than the sum of its proper divisors (122536668672).

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

42877029888 is a wasteful number, since it uses less digits than its factorization.

42877029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 42877029888 in words is "forty-two billion, eight hundred seventy-seven million, twenty-nine thousand, eight hundred eighty-eight".