10315415000 has 240 divisors, whose sum is σ = 27295856280. Its totient is φ = 3623040000.

The previous prime is 10315414999. The next prime is 10315415003. The reversal of 10315415000 is 51451301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315415003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 75294932 + ... + 75295068.

Almost surely, 2^10315415000 is an apocalyptic number.

10315415000 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 10315415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13647928140).

10315415000 is an abundant number, since it is smaller than the sum of its proper divisors (16980441280).

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

10315415000 is a wasteful number, since it uses less digits than its factorization.

10315415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10315415000 its reverse (51451301), we get a palindrome (10366866301).

The spelling of 10315415000 in words is "ten billion, three hundred fifteen million, four hundred fifteen thousand".