42526814897952 has 288 divisors, whose sum is σ = 150878676049920. Its totient is φ = 11038469045760.

The previous prime is 42526814897951. The next prime is 42526814897981. The reversal of 42526814897952 is 25979841862524.

42526814897952 is a `hidden beast` number, since 4 + 2 + 5 + 26 + 8 + 1 + 489 + 79 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (42526814897951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32240449 + ... + 33533567.

It is an arithmetic number, because the mean of its divisors is an integer number (523884291840).

Almost surely, 2^{42526814897952} is an apocalyptic number.

42526814897952 is a gapful number since it is divisible by the number (42) 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 42526814897952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75439338024960).

42526814897952 is an abundant number, since it is smaller than the sum of its proper divisors (108351861151968).

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

42526814897952 is a wasteful number, since it uses less digits than its factorization.

42526814897952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294636 (or 1294625 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 42526814897952 in words is "forty-two trillion, five hundred twenty-six billion, eight hundred fourteen million, eight hundred ninety-seven thousand, nine hundred fifty-two".