10049587530240 has 320 divisors, whose sum is σ = 32330266480512. Its totient is φ = 2662981632000.

The previous prime is 10049587530239. The next prime is 10049587530251. The reversal of 10049587530240 is 4203578594001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10049587530240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2642540179 + ... + 2642543981.

Almost surely, 2^{10049587530240} is an apocalyptic number.

10049587530240 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 10049587530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165133240256).

10049587530240 is an abundant number, since it is smaller than the sum of its proper divisors (22280678950272).

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

10049587530240 is a wasteful number, since it uses less digits than its factorization.

10049587530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 10049587530240 in words is "ten trillion, forty-nine billion, five hundred eighty-seven million, five hundred thirty thousand, two hundred forty".