9409725551520 has 3072 divisors, whose sum is σ = 42639851520000. Its totient is φ = 1890459648000.

The previous prime is 9409725551507. The next prime is 9409725551531. The reversal of 9409725551520 is 251555279049.

9409725551520 is a `hidden beast` number, since 9 + 4 + 0 + 9 + 72 + 55 + 515 + 2 + 0 = 666.

9409725551520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 63152520406 + ... + 63152520554.

It is an arithmetic number, because the mean of its divisors is an integer number (13880160000).

Almost surely, 2^{9409725551520} is an apocalyptic number.

9409725551520 is a gapful number since it is divisible by the number (90) 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 9409725551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21319925760000).

9409725551520 is an abundant number, since it is smaller than the sum of its proper divisors (33230125968480).

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

9409725551520 is a wasteful number, since it uses less digits than its factorization.

9409725551520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 9409725551520 in words is "nine trillion, four hundred nine billion, seven hundred twenty-five million, five hundred fifty-one thousand, five hundred twenty".