20540274179040 has 2880 divisors, whose sum is σ = 94011761555712. Its totient is φ = 4199189299200.

The previous prime is 20540274179003. The next prime is 20540274179099. The reversal of 20540274179040 is 4097147204502.

20540274179040 is a `hidden beast` number, since 2 + 0 + 5 + 402 + 74 + 179 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 85229353320 + ... + 85229353560.

Almost surely, 2^{20540274179040} is an apocalyptic number.

20540274179040 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 20540274179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47005880777856).

20540274179040 is an abundant number, since it is smaller than the sum of its proper divisors (73471487376672).

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

20540274179040 is an equidigital number, since it uses as much as digits as its factorization.

20540274179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 20540274179040 in words is "twenty trillion, five hundred forty billion, two hundred seventy-four million, one hundred seventy-nine thousand, forty".