20270215680 has 320 divisors, whose sum is σ = 76134377088. Its totient is φ = 4535746560.

The previous prime is 20270215663. The next prime is 20270215681. The reversal of 20270215680 is 8651207202.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20270215681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089012 + ... + 1107468.

Almost surely, 2^20270215680 is an apocalyptic number.

20270215680 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 20270215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38067188544).

20270215680 is an abundant number, since it is smaller than the sum of its proper divisors (55864161408).

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

20270215680 is a wasteful number, since it uses less digits than its factorization.

20270215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18507 (or 18491 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 20270215680 in words is "twenty billion, two hundred seventy million, two hundred fifteen thousand, six hundred eighty".