10728972858240 has 1152 divisors, whose sum is σ = 48131808772320. Its totient is φ = 2263674470400.

The previous prime is 10728972858221. The next prime is 10728972858293. The reversal of 10728972858240 is 4285827982701.

10728972858240 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 8 + 9 + 7 + 2 + 8 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10728972858240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 99012090 + ... + 99120390.

Almost surely, 2^{10728972858240} is an apocalyptic number.

10728972858240 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 10728972858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24065904386160).

10728972858240 is an abundant number, since it is smaller than the sum of its proper divisors (37402835914080).

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

10728972858240 is a wasteful number, since it uses less digits than its factorization.

10728972858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108362 (or 108331 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 10728972858240 in words is "ten trillion, seven hundred twenty-eight billion, nine hundred seventy-two million, eight hundred fifty-eight thousand, two hundred forty".