10485625970064 has 240 divisors, whose sum is σ = 33217906507200. Its totient is φ = 2834014030848.

The previous prime is 10485625969979. The next prime is 10485625970069. The reversal of 10485625970064 is 46007952658401.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 10485625969986 and 10485625970013.

It is not an unprimeable number, because it can be changed into a prime (10485625970069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30080482 + ... + 30427070.

It is an arithmetic number, because the mean of its divisors is an integer number (138407943780).

Almost surely, 2^{10485625970064} is an apocalyptic number.

10485625970064 is a gapful number since it is divisible by the number (14) 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 10485625970064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608953253600).

10485625970064 is an abundant number, since it is smaller than the sum of its proper divisors (22732280537136).

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

10485625970064 is a wasteful number, since it uses less digits than its factorization.

10485625970064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347310 (or 347297 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 10485625970064 in words is "ten trillion, four hundred eighty-five billion, six hundred twenty-five million, nine hundred seventy thousand, sixty-four".