10958438400 has 768 divisors, whose sum is σ = 45507504000. Its totient is φ = 2312110080.

The previous prime is 10958438377. The next prime is 10958438419. The reversal of 10958438400 is 483485901.

It is a tau number, because it is divible by the number of its divisors (768).

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 47 ways as a sum of consecutive naturals, for example, 842956794 + ... + 842956806.

Almost surely, 2^10958438400 is an apocalyptic number.

10958438400 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 10958438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22753752000).

10958438400 is an abundant number, since it is smaller than the sum of its proper divisors (34549065600).

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

10958438400 is an frugal number, since it uses more digits than its factorization.

10958438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10958438400 in words is "ten billion, nine hundred fifty-eight million, four hundred thirty-eight thousand, four hundred".