10415504000 has 512 divisors, whose sum is σ = 30795448320. Its totient is φ = 3463680000.

The previous prime is 10415503991. The next prime is 10415504041. The reversal of 10415504000 is 40551401.

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

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, 125487959 + ... + 125488041.

It is an arithmetic number, because the mean of its divisors is an integer number (60147360).

Almost surely, 2^10415504000 is an apocalyptic number.

10415504000 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 10415504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397724160).

10415504000 is an abundant number, since it is smaller than the sum of its proper divisors (20379944320).

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

10415504000 is a wasteful number, since it uses less digits than its factorization.

10415504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

It can be divided in two parts, 10415 and 504000, that added together give a palindrome (514415).

The spelling of 10415504000 in words is "ten billion, four hundred fifteen million, five hundred four thousand".