70121164800 has 624 divisors, whose sum is σ = 254489783040. Its totient is φ = 16955473920.

The previous prime is 70121164787. The next prime is 70121164847. The reversal of 70121164800 is 846112107.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151449369 + ... + 151449831.

Almost surely, 2^70121164800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70121164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127244891520).

70121164800 is an abundant number, since it is smaller than the sum of its proper divisors (184368618240).

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

70121164800 is a wasteful number, since it uses less digits than its factorization.

70121164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

Adding to 70121164800 its reverse (846112107), we get a palindrome (70967276907).

The spelling of 70121164800 in words is "seventy billion, one hundred twenty-one million, one hundred sixty-four thousand, eight hundred".