20671610400 has 432 divisors, whose sum is σ = 86972870880. Its totient is φ = 4724697600.

The previous prime is 20671610357. The next prime is 20671610413. The reversal of 20671610400 is 401617602.

20671610400 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 1 + 610 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1048635 + ... + 1068165.

It is an arithmetic number, because the mean of its divisors is an integer number (201326090).

Almost surely, 2^20671610400 is an apocalyptic number.

20671610400 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 20671610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43486435440).

20671610400 is an abundant number, since it is smaller than the sum of its proper divisors (66301260480).

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

20671610400 is a wasteful number, since it uses less digits than its factorization.

20671610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19574 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20671610400 in words is "twenty billion, six hundred seventy-one million, six hundred ten thousand, four hundred".