15188020540 has 192 divisors, whose sum is σ = 40920219648. Its totient is φ = 4597689600.

The previous prime is 15188020499. The next prime is 15188020597. The reversal of 15188020540 is 4502088151.

15188020540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15188020496 and 15188020505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13971877 + ... + 13972963.

It is an arithmetic number, because the mean of its divisors is an integer number (213126144).

Almost surely, 2^15188020540 is an apocalyptic number.

15188020540 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 15188020540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460109824).

15188020540 is an abundant number, since it is smaller than the sum of its proper divisors (25732199108).

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

15188020540 is a wasteful number, since it uses less digits than its factorization.

15188020540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The spelling of 15188020540 in words is "fifteen billion, one hundred eighty-eight million, twenty thousand, five hundred forty".