15400150656 has 256 divisors, whose sum is σ = 46147345920. Its totient is φ = 4509388800.

The previous prime is 15400150637. The next prime is 15400150663. The reversal of 15400150656 is 65605100451.

15400150656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 32976535 + ... + 32977001.

It is an arithmetic number, because the mean of its divisors is an integer number (180263070).

Almost surely, 2^15400150656 is an apocalyptic number.

15400150656 is a gapful number since it is divisible by the number (16) 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 15400150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23073672960).

15400150656 is an abundant number, since it is smaller than the sum of its proper divisors (30747195264).

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

15400150656 is a wasteful number, since it uses less digits than its factorization.

15400150656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 15400150656 in words is "fifteen billion, four hundred million, one hundred fifty thousand, six hundred fifty-six".