9948925415520 has 2304 divisors, whose sum is σ = 44554130030592. Its totient is φ = 1965553827840.

The previous prime is 9948925415459. The next prime is 9948925415537. The reversal of 9948925415520 is 255145298499.

9948925415520 is a `hidden beast` number, since 9 + 9 + 4 + 8 + 92 + 5 + 4 + 15 + 520 = 666.

It is a super-2 number, since 2×9948925415520² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20429004717 + ... + 20429005203.

It is an arithmetic number, because the mean of its divisors is an integer number (19337730048).

Almost surely, 2^{9948925415520} is an apocalyptic number.

9948925415520 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 9948925415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22277065015296).

9948925415520 is an abundant number, since it is smaller than the sum of its proper divisors (34605204615072).

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

9948925415520 is a wasteful number, since it uses less digits than its factorization.

9948925415520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 9948925415520 in words is "nine trillion, nine hundred forty-eight billion, nine hundred twenty-five million, four hundred fifteen thousand, five hundred twenty".