42526270724760 has 576 divisors, whose sum is σ = 149292898372800. Its totient is φ = 10888446643200.

The previous prime is 42526270724747. The next prime is 42526270724779. The reversal of 42526270724760 is 6742707262524.

42526270724760 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 627 + 0 + 7 + 2 + 4 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42526270724697 and 42526270724706.

It is a congruent number.

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, 1377532125 + ... + 1377562995.

It is an arithmetic number, because the mean of its divisors is an integer number (259189059675).

Almost surely, 2^{42526270724760} is an apocalyptic number.

42526270724760 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 42526270724760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74646449186400).

42526270724760 is an abundant number, since it is smaller than the sum of its proper divisors (106766627648040).

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

42526270724760 is a wasteful number, since it uses less digits than its factorization.

42526270724760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31116 (or 31091 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 42526270724760 in words is "forty-two trillion, five hundred twenty-six billion, two hundred seventy million, seven hundred twenty-four thousand, seven hundred sixty".