15755040000 has 720 divisors, whose sum is σ = 66664160640. Its totient is φ = 3594240000.

The previous prime is 15755039977. The next prime is 15755040053. The reversal of 15755040000 is 4055751.

15755040000 is a `hidden beast` number, since 1 + 575 + 50 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30239740 + ... + 30240260.

It is an arithmetic number, because the mean of its divisors is an integer number (92589112).

Almost surely, 2^15755040000 is an apocalyptic number.

15755040000 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 15755040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33332080320).

15755040000 is an abundant number, since it is smaller than the sum of its proper divisors (50909120640).

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

15755040000 is an frugal number, since it uses more digits than its factorization.

15755040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

Adding to 15755040000 its reverse (4055751), we get a palindrome (15759095751).

The spelling of 15755040000 in words is "fifteen billion, seven hundred fifty-five million, forty thousand".