10573782736896 has 560 divisors, whose sum is σ = 33563604389040. Its totient is φ = 3310859059200.

The previous prime is 10573782736879. The next prime is 10573782736901. The reversal of 10573782736896 is 69863728737501.

10573782736896 is a `hidden beast` number, since 10 + 573 + 7 + 8 + 2 + 7 + 36 + 8 + 9 + 6 = 666.

It is a super-3 number, since 3×10573782736896³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 711983871 + ... + 711998721.

Almost surely, 2^{10573782736896} is an apocalyptic number.

10573782736896 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 10573782736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16781802194520).

10573782736896 is an abundant number, since it is smaller than the sum of its proper divisors (22989821652144).

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

10573782736896 is an equidigital number, since it uses as much as digits as its factorization.

10573782736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14955 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 10573782736896 in words is "ten trillion, five hundred seventy-three billion, seven hundred eighty-two million, seven hundred thirty-six thousand, eight hundred ninety-six".