10295953682976 has 480 divisors, whose sum is σ = 35162935315200. Its totient is φ = 2928040980480.

The previous prime is 10295953682953. The next prime is 10295953682977. The reversal of 10295953682976 is 67928635959201.

It is a happy number.

10295953682976 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 5 + 9 + 536 + 82 + 9 + 7 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10295953682977) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26053065 + ... + 26445303.

It is an arithmetic number, because the mean of its divisors is an integer number (73256115240).

Almost surely, 2^{10295953682976} is an apocalyptic number.

10295953682976 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 10295953682976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581467657600).

10295953682976 is an abundant number, since it is smaller than the sum of its proper divisors (24866981632224).

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

10295953682976 is a wasteful number, since it uses less digits than its factorization.

10295953682976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392334 (or 392317 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 10295953682976 in words is "ten trillion, two hundred ninety-five billion, nine hundred fifty-three million, six hundred eighty-two thousand, nine hundred seventy-six".