20526379197840 has 240 divisors, whose sum is σ = 69344742604800. Its totient is φ = 5441170775040.

The previous prime is 20526379197827. The next prime is 20526379197851. The reversal of 20526379197840 is 4879197362502.

20526379197840 is a `hidden beast` number, since 2 + 0 + 526 + 37 + 9 + 1 + 9 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156539505 + ... + 156670575.

It is an arithmetic number, because the mean of its divisors is an integer number (288936427520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅20526379197840 = 41052758395680, but 3⋅20526379197840 = 61579137593520 is not.

Almost surely, 2^{20526379197840} is an apocalyptic number.

20526379197840 is a gapful number since it is divisible by the number (20) 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 20526379197840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34672371302400).

20526379197840 is an abundant number, since it is smaller than the sum of its proper divisors (48818363406960).

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

20526379197840 is a wasteful number, since it uses less digits than its factorization.

20526379197840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132382 (or 132373 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 20526379197840 in words is "twenty trillion, five hundred twenty-six billion, three hundred seventy-nine million, one hundred ninety-seven thousand, eight hundred forty".