10379603520 has 896 divisors, whose sum is σ = 44570050560. Its totient is φ = 2239488000.

The previous prime is 10379603519. The next prime is 10379603539. The reversal of 10379603520 is 2530697301.

10379603520 is a `hidden beast` number, since 1 + 0 + 3 + 79 + 60 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38300985 + ... + 38301255.

It is an arithmetic number, because the mean of its divisors is an integer number (49743360).

Almost surely, 2^10379603520 is an apocalyptic number.

10379603520 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 10379603520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285025280).

10379603520 is an abundant number, since it is smaller than the sum of its proper divisors (34190447040).

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

10379603520 is a wasteful number, since it uses less digits than its factorization.

10379603520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 10379603520 in words is "ten billion, three hundred seventy-nine million, six hundred three thousand, five hundred twenty".