9958951533960 has 192 divisors, whose sum is σ = 38025087871680. Its totient is φ = 2228576555520.

The previous prime is 9958951533959. The next prime is 9958951533961. The reversal of 9958951533960 is 693351598599.

9958951533960 is a `hidden beast` number, since 9 + 9 + 5 + 89 + 5 + 1 + 533 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9958951533959) and next prime (9958951533961).

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

It is not an unprimeable number, because it can be changed into a prime (9958951533961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96674934 + ... + 96777893.

It is an arithmetic number, because the mean of its divisors is an integer number (198047332665).

Almost surely, 2^{9958951533960} is an apocalyptic number.

9958951533960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9958951533960 is an abundant number, since it is smaller than the sum of its proper divisors (28066136337720).

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

9958951533960 is a wasteful number, since it uses less digits than its factorization.

9958951533960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193452868 (or 193452861 counting only the distinct ones).

The product of its (nonzero) digits is 354294000, while the sum is 72.

The spelling of 9958951533960 in words is "nine trillion, nine hundred fifty-eight billion, nine hundred fifty-one million, five hundred thirty-three thousand, nine hundred sixty".