42878354859648 has 1536 divisors, whose sum is σ = 166107226521600. Its totient is φ = 10646243942400.

The previous prime is 42878354859611. The next prime is 42878354859653. The reversal of 42878354859648 is 84695845387824.

42878354859648 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 8 + 3 + 5 + 485 + 96 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7531765090 + ... + 7531770782.

It is an arithmetic number, because the mean of its divisors is an integer number (108142725600).

Almost surely, 2^{42878354859648} is an apocalyptic number.

42878354859648 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 42878354859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83053613260800).

42878354859648 is an abundant number, since it is smaller than the sum of its proper divisors (123228871661952).

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

42878354859648 is a wasteful number, since it uses less digits than its factorization.

42878354859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5830 counting only the distinct ones).

The product of its digits is 14863564800, while the sum is 81.

The spelling of 42878354859648 in words is "forty-two trillion, eight hundred seventy-eight billion, three hundred fifty-four million, eight hundred fifty-nine thousand, six hundred forty-eight".