10607015338920 has 1024 divisors, whose sum is σ = 50264511897600. Its totient is φ = 1914831912960.

The previous prime is 10607015338897. The next prime is 10607015338939. The reversal of 10607015338920 is 2983351070601.

10607015338920 is a `hidden beast` number, since 1 + 0 + 607 + 0 + 1 + 5 + 3 + 38 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×10607015338920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18089787 + ... + 18666933.

It is an arithmetic number, because the mean of its divisors is an integer number (49086437400).

Almost surely, 2^{10607015338920} is an apocalyptic number.

10607015338920 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 10607015338920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25132255948800).

10607015338920 is an abundant number, since it is smaller than the sum of its proper divisors (39657496558680).

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

10607015338920 is a wasteful number, since it uses less digits than its factorization.

10607015338920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577215 (or 577205 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10607015338920 in words is "ten trillion, six hundred seven billion, fifteen million, three hundred thirty-eight thousand, nine hundred twenty".