42677510000 has 100 divisors (see below), whose sum is σ = 103427067744. Its totient is φ = 17054400000.

The previous prime is 42677509991. The next prime is 42677510053. The reversal of 42677510000 is 1577624.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18708860 + ... + 18711140.

Almost surely, 2^42677510000 is an apocalyptic number.

42677510000 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 42677510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51713533872).

42677510000 is an abundant number, since it is smaller than the sum of its proper divisors (60749557744).

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

42677510000 is a wasteful number, since it uses less digits than its factorization.

42677510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 42677510000 in words is "forty-two billion, six hundred seventy-seven million, five hundred ten thousand".