22515136151640 has 256 divisors, whose sum is σ = 75879807505920. Its totient is φ = 5297320304640.

The previous prime is 22515136151593. The next prime is 22515136151723. The reversal of 22515136151640 is 4615163151522.

It is a junction number, because it is equal to n+sod(n) for n = 22515136151592 and 22515136151601.

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 63 ways as a sum of consecutive naturals, for example, 7648032 + ... + 10174608.

It is an arithmetic number, because the mean of its divisors is an integer number (296405498070).

Almost surely, 2^{22515136151640} is an apocalyptic number.

22515136151640 is a gapful number since it is divisible by the number (20) 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 22515136151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37939903752960).

22515136151640 is an abundant number, since it is smaller than the sum of its proper divisors (53364671354280).

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

22515136151640 is a wasteful number, since it uses less digits than its factorization.

22515136151640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526802 (or 2526798 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 22515136151640 in words is "twenty-two trillion, five hundred fifteen billion, one hundred thirty-six million, one hundred fifty-one thousand, six hundred forty".