20274014880 has 864 divisors, whose sum is σ = 85706449920. Its totient is φ = 4434186240.

The previous prime is 20274014851. The next prime is 20274014903. The reversal of 20274014880 is 8841047202.

20274014880 is a `hidden beast` number, since 202 + 7 + 401 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×20274014880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 227797876 + ... + 227797964.

It is an arithmetic number, because the mean of its divisors is an integer number (99197280).

Almost surely, 2^20274014880 is an apocalyptic number.

20274014880 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 20274014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42853224960).

20274014880 is an abundant number, since it is smaller than the sum of its proper divisors (65432435040).

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

20274014880 is an frugal number, since it uses more digits than its factorization.

20274014880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 20274014880 in words is "twenty billion, two hundred seventy-four million, fourteen thousand, eight hundred eighty".