10295973265536 has 1536 divisors, whose sum is σ = 39034941603840. Its totient is φ = 2633637888000.

The previous prime is 10295973265493. The next prime is 10295973265537. The reversal of 10295973265536 is 63556237959201.

10295973265536 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 5 + 9 + 7 + 32 + 65 + 536 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10295973265537) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6999301281 + ... + 6999302751.

It is an arithmetic number, because the mean of its divisors is an integer number (25413373440).

Almost surely, 2^{10295973265536} is an apocalyptic number.

10295973265536 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 10295973265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517470801920).

10295973265536 is an abundant number, since it is smaller than the sum of its proper divisors (28738968338304).

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

10295973265536 is a wasteful number, since it uses less digits than its factorization.

10295973265536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 10295973265536 in words is "ten trillion, two hundred ninety-five billion, nine hundred seventy-three million, two hundred sixty-five thousand, five hundred thirty-six".