42861615552000 has 720 divisors, whose sum is σ = 179584437681792. Its totient is φ = 9796934246400.

The previous prime is 42861615551879. The next prime is 42861615552001. The reversal of 42861615552000 is 25551616824.

42861615552000 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 1 + 615 + 5 + 5 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42861615552001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27464689 + ... + 28983311.

Almost surely, 2^{42861615552000} is an apocalyptic number.

42861615552000 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 42861615552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89792218840896).

42861615552000 is an abundant number, since it is smaller than the sum of its proper divisors (136722822129792).

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

42861615552000 is a wasteful number, since it uses less digits than its factorization.

42861615552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518676 (or 1518640 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 42861615552000 in words is "forty-two trillion, eight hundred sixty-one billion, six hundred fifteen million, five hundred fifty-two thousand".