42087375792 has 600 divisors, whose sum is σ = 159770274048. Its totient is φ = 10450218240.

The previous prime is 42087375787. The next prime is 42087375833. The reversal of 42087375792 is 29757378024.

42087375792 is a `hidden beast` number, since 420 + 87 + 3 + 7 + 57 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25246543 + ... + 25248209.

Almost surely, 2^42087375792 is an apocalyptic number.

42087375792 is a gapful number since it is divisible by the number (42) 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 42087375792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79885137024).

42087375792 is an abundant number, since it is smaller than the sum of its proper divisors (117682898256).

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

42087375792 is a wasteful number, since it uses less digits than its factorization.

42087375792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 42087375792 in words is "forty-two billion, eighty-seven million, three hundred seventy-five thousand, seven hundred ninety-two".