10352792736000 has 5760 divisors, whose sum is σ = 50403000840192. Its totient is φ = 2070282240000.

The previous prime is 10352792735977. The next prime is 10352792736001. The reversal of 10352792736000 is 63729725301.

10352792736000 is a `hidden beast` number, since 1 + 0 + 3 + 527 + 92 + 7 + 36 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10352792736001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 195335711974 + ... + 195335712026.

Almost surely, 2^{10352792736000} is an apocalyptic number.

10352792736000 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 10352792736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25201500420096).

10352792736000 is an abundant number, since it is smaller than the sum of its proper divisors (40050208104192).

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

10352792736000 is a wasteful number, since it uses less digits than its factorization.

10352792736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 10352792736000 in words is "ten trillion, three hundred fifty-two billion, seven hundred ninety-two million, seven hundred thirty-six thousand".