9955267400 has 192 divisors, whose sum is σ = 26090830080. Its totient is φ = 3508070400.

The previous prime is 9955267391. The next prime is 9955267409. The reversal of 9955267400 is 47625599.

It is an interprime number because it is at equal distance from previous prime (9955267391) and next prime (9955267409).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (9955267409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5009207 + ... + 5011193.

It is an arithmetic number, because the mean of its divisors is an integer number (135889740).

Almost surely, 2^9955267400 is an apocalyptic number.

9955267400 is the 81467-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9955267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045415040).

9955267400 is an abundant number, since it is smaller than the sum of its proper divisors (16135562680).

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

9955267400 is a wasteful number, since it uses less digits than its factorization.

9955267400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 9955267400 is about 99776.0863133046. The cubic root of 9955267400 is about 2151.2174392122.

The spelling of 9955267400 in words is "nine billion, nine hundred fifty-five million, two hundred sixty-seven thousand, four hundred".