20760867400 has 288 divisors, whose sum is σ = 61437942720. Its totient is φ = 6353164800.

The previous prime is 20760867359. The next prime is 20760867409. The reversal of 20760867400 is 476806702.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (20760867409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17489607 + ... + 17490793.

It is an arithmetic number, because the mean of its divisors is an integer number (213326190).

Almost surely, 2^20760867400 is an apocalyptic number.

20760867400 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 20760867400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718971360).

20760867400 is an abundant number, since it is smaller than the sum of its proper divisors (40677075320).

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

20760867400 is a wasteful number, since it uses less digits than its factorization.

20760867400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 20760867400 in words is "twenty billion, seven hundred sixty million, eight hundred sixty-seven thousand, four hundred".