19950806400 has 768 divisors, whose sum is σ = 79295877120. Its totient is φ = 4313088000.

The previous prime is 19950806311. The next prime is 19950806411. The reversal of 19950806400 is 460805991.

It is a super-3 number, since 3×19950806400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 127075122 + ... + 127075278.

It is an arithmetic number, because the mean of its divisors is an integer number (103249840).

Almost surely, 2^19950806400 is an apocalyptic number.

19950806400 is a gapful number since it is divisible by the number (10) 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 19950806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39647938560).

19950806400 is an abundant number, since it is smaller than the sum of its proper divisors (59345070720).

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

19950806400 is a wasteful number, since it uses less digits than its factorization.

19950806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 19950806400 in words is "nineteen billion, nine hundred fifty million, eight hundred six thousand, four hundred".