9965401920 has 224 divisors, whose sum is σ = 35416540800. Its totient is φ = 2637729792.

The previous prime is 9965401909. The next prime is 9965401933. The reversal of 9965401920 is 291045699.

9965401920 is a `hidden beast` number, since 9 + 96 + 540 + 19 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179471 + ... + 1187889.

Almost surely, 2^9965401920 is an apocalyptic number.

9965401920 is a gapful number since it is divisible by the number (90) 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 9965401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708270400).

9965401920 is an abundant number, since it is smaller than the sum of its proper divisors (25451138880).

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

9965401920 is a wasteful number, since it uses less digits than its factorization.

9965401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9965401920 is about 99826.8597122037. The cubic root of 9965401920 is about 2151.9471755896.

The spelling of 9965401920 in words is "nine billion, nine hundred sixty-five million, four hundred one thousand, nine hundred twenty".