147957471084960 has 768 divisors, whose sum is σ = 533509682872320. Its totient is φ = 38277707120640.

The previous prime is 147957471084953. The next prime is 147957471084989. The reversal of 147957471084960 is 69480174759741.

147957471084960 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 57 + 471 + 0 + 8 + 49 + 60 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28273926504 + ... + 28273931736.

It is an arithmetic number, because the mean of its divisors is an integer number (694674066240).

Almost surely, 2^{147957471084960} is an apocalyptic number.

147957471084960 is a gapful number since it is divisible by the number (10) 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 147957471084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266754841436160).

147957471084960 is an abundant number, since it is smaller than the sum of its proper divisors (385552211787360).

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

147957471084960 is a wasteful number, since it uses less digits than its factorization.

147957471084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 147957471084960 in words is "one hundred forty-seven trillion, nine hundred fifty-seven billion, four hundred seventy-one million, eighty-four thousand, nine hundred sixty".