42787920000 has 320 divisors, whose sum is σ = 162319291200. Its totient is φ = 9779712000.

The previous prime is 42787919987. The next prime is 42787920011. The reversal of 42787920000 is 2978724.

42787920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1667266 + ... + 1692734.

It is an arithmetic number, because the mean of its divisors is an integer number (507247785).

Almost surely, 2^42787920000 is an apocalyptic number.

42787920000 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 42787920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81159645600).

42787920000 is an abundant number, since it is smaller than the sum of its proper divisors (119531371200).

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

42787920000 is an equidigital number, since it uses as much as digits as its factorization.

42787920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25513 (or 25486 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 42787920000 in words is "forty-two billion, seven hundred eighty-seven million, nine hundred twenty thousand".