10358478720 has 512 divisors, whose sum is σ = 38952576000. Its totient is φ = 2596036608.

The previous prime is 10358478719. The next prime is 10358478733. The reversal of 10358478720 is 2787485301.

10358478720 is a `hidden beast` number, since 103 + 5 + 8 + 478 + 72 + 0 = 666.

It is a super-3 number, since 3×10358478720³ (a number of 31 digits) contains 333 as substring.

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

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, 26628286 + ... + 26628674.

It is an arithmetic number, because the mean of its divisors is an integer number (76079250).

Almost surely, 2^10358478720 is an apocalyptic number.

10358478720 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 10358478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476288000).

10358478720 is an abundant number, since it is smaller than the sum of its proper divisors (28594097280).

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

10358478720 is a wasteful number, since it uses less digits than its factorization.

10358478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10358478720 in words is "ten billion, three hundred fifty-eight million, four hundred seventy-eight thousand, seven hundred twenty".