20407772880 has 480 divisors, whose sum is σ = 78061253760. Its totient is φ = 4896460800.

The previous prime is 20407772863. The next prime is 20407772897. The reversal of 20407772880 is 8827770402.

It is an interprime number because it is at equal distance from previous prime (20407772863) and next prime (20407772897).

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 95 ways as a sum of consecutive naturals, for example, 29533335 + ... + 29534025.

It is an arithmetic number, because the mean of its divisors is an integer number (162627612).

Almost surely, 2^20407772880 is an apocalyptic number.

20407772880 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 20407772880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39030626880).

20407772880 is an abundant number, since it is smaller than the sum of its proper divisors (57653480880).

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

20407772880 is a wasteful number, since it uses less digits than its factorization.

20407772880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 20407772880 in words is "twenty billion, four hundred seven million, seven hundred seventy-two thousand, eight hundred eighty".