10294253320560 has 320 divisors, whose sum is σ = 36545409515520. Its totient is φ = 2374139520000.

The previous prime is 10294253320511. The next prime is 10294253320579. The reversal of 10294253320560 is 6502335249201.

It is a super-2 number, since 2×10294253320560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3762585 + ... + 5894535.

It is an arithmetic number, because the mean of its divisors is an integer number (114204404736).

Almost surely, 2^{10294253320560} is an apocalyptic number.

10294253320560 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 10294253320560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272704757760).

10294253320560 is an abundant number, since it is smaller than the sum of its proper divisors (26251156194960).

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

10294253320560 is a wasteful number, since it uses less digits than its factorization.

10294253320560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132068 (or 2132062 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

Adding to 10294253320560 its reverse (6502335249201), we get a palindrome (16796588569761).

The spelling of 10294253320560 in words is "ten trillion, two hundred ninety-four billion, two hundred fifty-three million, three hundred twenty thousand, five hundred sixty".