20618655071040 has 1344 divisors, whose sum is σ = 83655551865600. Its totient is φ = 4764961603584.

The previous prime is 20618655071023. The next prime is 20618655071107. The reversal of 20618655071040 is 4017055681602.

20618655071040 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 86 + 550 + 7 + 10 + 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 191 ways as a sum of consecutive naturals, for example, 3134960232 + ... + 3134966808.

Almost surely, 2^{20618655071040} is an apocalyptic number.

20618655071040 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 20618655071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827775932800).

20618655071040 is an abundant number, since it is smaller than the sum of its proper divisors (63036896794560).

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

20618655071040 is a wasteful number, since it uses less digits than its factorization.

20618655071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6732 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 20618655071040 in words is "twenty trillion, six hundred eighteen billion, six hundred fifty-five million, seventy-one thousand, forty".