10115510400534 has 192 divisors, whose sum is σ = 26506966155264. Its totient is φ = 2542143240000.

The previous prime is 10115510400497. The next prime is 10115510400577. The reversal of 10115510400534 is 43500401551101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 951505399 + ... + 951516029.

It is an arithmetic number, because the mean of its divisors is an integer number (138057115392).

Almost surely, 2^{10115510400534} is an apocalyptic number.

10115510400534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10115510400534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253483077632).

10115510400534 is an abundant number, since it is smaller than the sum of its proper divisors (16391455754730).

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

10115510400534 is a wasteful number, since it uses less digits than its factorization.

10115510400534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20183 (or 20176 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 10115510400534 its reverse (43500401551101), we get a palindrome (53615911951635).

The spelling of 10115510400534 in words is "ten trillion, one hundred fifteen billion, five hundred ten million, four hundred thousand, five hundred thirty-four".