70855948800 has 1200 divisors, whose sum is σ = 323190481152. Its totient is φ = 14929920000.

The previous prime is 70855948781. The next prime is 70855948811. The reversal of 70855948800 is 884955807.

70855948800 is a `hidden beast` number, since 7 + 0 + 8 + 559 + 4 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 94348425 + ... + 94349175.

Almost surely, 2^70855948800 is an apocalyptic number.

70855948800 is a gapful number since it is divisible by the number (70) 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 70855948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161595240576).

70855948800 is an abundant number, since it is smaller than the sum of its proper divisors (252334532352).

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

70855948800 is a wasteful number, since it uses less digits than its factorization.

70855948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 70855948800 in words is "seventy billion, eight hundred fifty-five million, nine hundred forty-eight thousand, eight hundred".