94955328000 has 800 divisors, whose sum is σ = 381182321520. Its totient is φ = 23357030400.

The previous prime is 94955327953. The next prime is 94955328037. The reversal of 94955328000 is 82355949.

94955328000 is a `hidden beast` number, since 94 + 9 + 553 + 2 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11263152384 + 83692175616 = 106128^2 + 289296^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67391296 + ... + 67392704.

Almost surely, 2^94955328000 is an apocalyptic number.

94955328000 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 94955328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190591160760).

94955328000 is an abundant number, since it is smaller than the sum of its proper divisors (286226993520).

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

94955328000 is a wasteful number, since it uses less digits than its factorization.

94955328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 94955328000 in words is "ninety-four billion, nine hundred fifty-five million, three hundred twenty-eight thousand".