42658652160000 has 1360 divisors, whose sum is σ = 167307727514400. Its totient is φ = 10701766656000.

The previous prime is 42658652159923. The next prime is 42658652160073. The reversal of 42658652160000 is 6125685624.

42658652160000 is a `hidden beast` number, since 4 + 2 + 6 + 586 + 5 + 2 + 1 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 18800638866 + ... + 18800641134.

Almost surely, 2^{42658652160000} is an apocalyptic number.

42658652160000 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 42658652160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83653863757200).

42658652160000 is an abundant number, since it is smaller than the sum of its proper divisors (124649075354400).

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

42658652160000 is an frugal number, since it uses more digits than its factorization.

42658652160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 42658652160000 in words is "forty-two trillion, six hundred fifty-eight billion, six hundred fifty-two million, one hundred sixty thousand".