20777454180 has 480 divisors, whose sum is σ = 79545903360. Its totient is φ = 4434186240.

The previous prime is 20777454169. The next prime is 20777454197. The reversal of 20777454180 is 8145477702.

20777454180 is a `hidden beast` number, since 20 + 7 + 7 + 7 + 4 + 541 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15727920 + ... + 15729240.

It is an arithmetic number, because the mean of its divisors is an integer number (165720632).

Almost surely, 2^20777454180 is an apocalyptic number.

20777454180 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 20777454180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39772951680).

20777454180 is an abundant number, since it is smaller than the sum of its proper divisors (58768449180).

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

20777454180 is a wasteful number, since it uses less digits than its factorization.

20777454180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 20777454180 in words is "twenty billion, seven hundred seventy-seven million, four hundred fifty-four thousand, one hundred eighty".