8138054400 has 432 divisors, whose sum is σ = 30974350848. Its totient is φ = 1843200000.

The previous prime is 8138054399. The next prime is 8138054401. The reversal of 8138054400 is 44508318.

It is an interprime number because it is at equal distance from previous prime (8138054399) and next prime (8138054401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138054401) 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, 20294200 + ... + 20294600.

Almost surely, 2^8138054400 is an apocalyptic number.

8138054400 is a gapful number since it is divisible by the number (80) 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 8138054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487175424).

8138054400 is an abundant number, since it is smaller than the sum of its proper divisors (22836296448).

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

8138054400 is a wasteful number, since it uses less digits than its factorization.

8138054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8138054400 is about 90211.1656060379. The cubic root of 8138054400 is about 2011.4389834295.

The spelling of 8138054400 in words is "eight billion, one hundred thirty-eight million, fifty-four thousand, four hundred".