42526203648768 has 2304 divisors, whose sum is σ = 168181235712000. Its totient is φ = 10305227980800.

The previous prime is 42526203648703. The next prime is 42526203648781. The reversal of 42526203648768 is 86784630262524.

42526203648768 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 62 + 0 + 36 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29552607793 + ... + 29552609231.

It is an arithmetic number, because the mean of its divisors is an integer number (72995328000).

Almost surely, 2^{42526203648768} is an apocalyptic number.

42526203648768 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 42526203648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84090617856000).

42526203648768 is an abundant number, since it is smaller than the sum of its proper divisors (125655032063232).

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

42526203648768 is a wasteful number, since it uses less digits than its factorization.

42526203648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 42526203648768 in words is "forty-two trillion, five hundred twenty-six billion, two hundred three million, six hundred forty-eight thousand, seven hundred sixty-eight".