20107949400 has 720 divisors, whose sum is σ = 85672158000. Its totient is φ = 4139942400.

The previous prime is 20107949377. The next prime is 20107949419. The reversal of 20107949400 is 494970102.

20107949400 is a `hidden beast` number, since 201 + 0 + 7 + 9 + 49 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 184476546 + ... + 184476654.

Almost surely, 2^20107949400 is an apocalyptic number.

20107949400 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 20107949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42836079000).

20107949400 is an abundant number, since it is smaller than the sum of its proper divisors (65564208600).

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

20107949400 is a wasteful number, since it uses less digits than its factorization.

20107949400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 20107949400 in words is "twenty billion, one hundred seven million, nine hundred forty-nine thousand, four hundred".