8725903441920 has 2112 divisors, whose sum is σ = 39246596487360. Its totient is φ = 1826434842624.

The previous prime is 8725903441907. The next prime is 8725903441939. The reversal of 8725903441920 is 291443095278.

8725903441920 is a `hidden beast` number, since 8 + 7 + 2 + 590 + 3 + 4 + 41 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×8725903441920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235835228142 + ... + 235835228178.

Almost surely, 2^{8725903441920} is an apocalyptic number.

8725903441920 is a gapful number since it is divisible by the number (80) 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 8725903441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623298243680).

8725903441920 is an abundant number, since it is smaller than the sum of its proper divisors (30520693045440).

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

8725903441920 is an frugal number, since it uses more digits than its factorization.

8725903441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 8725903441920 in words is "eight trillion, seven hundred twenty-five billion, nine hundred three million, four hundred forty-one thousand, nine hundred twenty".