10140616315600 has 30 divisors (see below), whose sum is σ = 24362830699190. Its totient is φ = 4056246526080.

The previous prime is 10140616315549. The next prime is 10140616315601. The reversal of 10140616315600 is 651361604101.

It can be written as a sum of positive squares in 3 ways, for example, as 1982486528064 + 8158129787536 = 1408008^2 + 2856244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140616315601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12675769995 + ... + 12675770794.

Almost surely, 2^{10140616315600} is an apocalyptic number.

10140616315600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140616315600 is an abundant number, since it is smaller than the sum of its proper divisors (14222214383590).

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

10140616315600 is a wasteful number, since it uses less digits than its factorization.

10140616315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25351540807 (or 25351540796 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 10140616315600 its reverse (651361604101), we get a palindrome (10791977919701).

The spelling of 10140616315600 in words is "ten trillion, one hundred forty billion, six hundred sixteen million, three hundred fifteen thousand, six hundred".