96177547361952 has 192 divisors, whose sum is σ = 320979497610240. Its totient is φ = 27446070129408.

The previous prime is 96177547361947. The next prime is 96177547361969. The reversal of 96177547361952 is 25916374577169.

96177547361952 is a `hidden beast` number, since 9 + 6 + 1 + 7 + 7 + 5 + 473 + 61 + 95 + 2 = 666.

It is a super-2 number, since 2×96177547361952² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4612798 + ... + 14616189.

It is an arithmetic number, because the mean of its divisors is an integer number (1671768216720).

Almost surely, 2^{96177547361952} is an apocalyptic number.

It is an amenable number.

96177547361952 is an abundant number, since it is smaller than the sum of its proper divisors (224801950248288).

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

96177547361952 is a wasteful number, since it uses less digits than its factorization.

96177547361952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19229840 (or 19229826 counting only the distinct ones).

The product of its digits is 600112800, while the sum is 72.

The spelling of 96177547361952 in words is "ninety-six trillion, one hundred seventy-seven billion, five hundred forty-seven million, three hundred sixty-one thousand, nine hundred fifty-two".