10273536000 has 1152 divisors, whose sum is σ = 46506096000. Its totient is φ = 2167603200.

The previous prime is 10273535981. The next prime is 10273536029. The reversal of 10273536000 is 63537201.

It is a happy number.

10273536000 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 3 + 53 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 790271994 + ... + 790272006.

It is an arithmetic number, because the mean of its divisors is an integer number (40369875).

Almost surely, 2^10273536000 is an apocalyptic number.

10273536000 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 10273536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253048000).

10273536000 is an abundant number, since it is smaller than the sum of its proper divisors (36232560000).

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

10273536000 is an equidigital number, since it uses as much as digits as its factorization.

10273536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 10273536000 in words is "ten billion, two hundred seventy-three million, five hundred thirty-six thousand".