10658419920 has 240 divisors, whose sum is σ = 36275803200. Its totient is φ = 2804336640.

The previous prime is 10658419913. The next prime is 10658419931. The reversal of 10658419920 is 2991485601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10658419920² (a number of 21 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 28122291 + ... + 28122669.

It is an arithmetic number, because the mean of its divisors is an integer number (151149180).

Almost surely, 2^10658419920 is an apocalyptic number.

10658419920 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 10658419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137901600).

10658419920 is an abundant number, since it is smaller than the sum of its proper divisors (25617383280).

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

10658419920 is a wasteful number, since it uses less digits than its factorization.

10658419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10658419920 in words is "ten billion, six hundred fifty-eight million, four hundred nineteen thousand, nine hundred twenty".