15201024000 has 192 divisors, whose sum is σ = 50579212320. Its totient is φ = 4053401600.

The previous prime is 15201023993. The next prime is 15201024037. The reversal of 15201024000 is 42010251.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×15201024000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758104 + ... + 777896.

Almost surely, 2^15201024000 is an apocalyptic number.

15201024000 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 15201024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25289606160).

15201024000 is an abundant number, since it is smaller than the sum of its proper divisors (35378188320).

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

15201024000 is an equidigital number, since it uses as much as digits as its factorization.

15201024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19833 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 15201024000 its reverse (42010251), we get a palindrome (15243034251).

The spelling of 15201024000 in words is "fifteen billion, two hundred one million, twenty-four thousand".