15381621760 has 352 divisors, whose sum is σ = 42022126080. Its totient is φ = 5367398400.

The previous prime is 15381621733. The next prime is 15381621763. The reversal of 15381621760 is 6712618351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (15381621763) 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 31 ways as a sum of consecutive naturals, for example, 117416895 + ... + 117417025.

It is an arithmetic number, because the mean of its divisors is an integer number (119381040).

Almost surely, 2^15381621760 is an apocalyptic number.

15381621760 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 15381621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011063040).

15381621760 is an abundant number, since it is smaller than the sum of its proper divisors (26640504320).

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

15381621760 is a wasteful number, since it uses less digits than its factorization.

15381621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 15381621760 in words is "fifteen billion, three hundred eighty-one million, six hundred twenty-one thousand, seven hundred sixty".