42500505600000 has 2592 divisors, whose sum is σ = 184864518663552. Its totient is φ = 9555148800000.

The previous prime is 42500505599999. The next prime is 42500505600013. The reversal of 42500505600000 is 650500524.

42500505600000 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 0 + 50 + 5 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 696729599970 + ... + 696729600030.

It is an arithmetic number, because the mean of its divisors is an integer number (71321187756).

Almost surely, 2^{42500505600000} is an apocalyptic number.

42500505600000 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 42500505600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92432259331776).

42500505600000 is an abundant number, since it is smaller than the sum of its proper divisors (142364013063552).

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

42500505600000 is an frugal number, since it uses more digits than its factorization.

42500505600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 42500505600000 in words is "forty-two trillion, five hundred billion, five hundred five million, six hundred thousand".