10270095163680 has 192 divisors, whose sum is σ = 35297610703488. Its totient is φ = 2489308815360.

The previous prime is 10270095163667. The next prime is 10270095163697. The reversal of 10270095163680 is 8636159007201.

It is a super-2 number, since 2×10270095163680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32435892 + ... + 32750988.

It is an arithmetic number, because the mean of its divisors is an integer number (183841722414).

Almost surely, 2^{10270095163680} is an apocalyptic number.

10270095163680 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 10270095163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17648805351744).

10270095163680 is an abundant number, since it is smaller than the sum of its proper divisors (25027515539808).

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

10270095163680 is a wasteful number, since it uses less digits than its factorization.

10270095163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321299 (or 321291 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 10270095163680 in words is "ten trillion, two hundred seventy billion, ninety-five million, one hundred sixty-three thousand, six hundred eighty".