9948615977520 has 240 divisors, whose sum is σ = 38592118330272. Its totient is φ = 2269915914240.

The previous prime is 9948615977507. The next prime is 9948615977533. The reversal of 9948615977520 is 257795168499.

9948615977520 is a `hidden beast` number, since 9 + 9 + 4 + 8 + 6 + 1 + 5 + 97 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (9948615977507) and next prime (9948615977533).

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

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36810607 + ... + 37079886.

Almost surely, 2^{9948615977520} is an apocalyptic number.

9948615977520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9948615977520 is an abundant number, since it is smaller than the sum of its proper divisors (28643502352752).

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

9948615977520 is a wasteful number, since it uses less digits than its factorization.

9948615977520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73890540 (or 73890531 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 9948615977520 in words is "nine trillion, nine hundred forty-eight billion, six hundred fifteen million, nine hundred seventy-seven thousand, five hundred twenty".