70838089920 has 560 divisors, whose sum is σ = 277734552480. Its totient is φ = 17028071424.

The previous prime is 70838089879. The next prime is 70838089969. The reversal of 70838089920 is 2998083807.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14486836 + ... + 14491724.

It is an arithmetic number, because the mean of its divisors is an integer number (495954558).

Almost surely, 2^70838089920 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 70838089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138867276240).

70838089920 is an abundant number, since it is smaller than the sum of its proper divisors (206896462560).

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

70838089920 is a wasteful number, since it uses less digits than its factorization.

70838089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 70838089920 in words is "seventy billion, eight hundred thirty-eight million, eighty-nine thousand, nine hundred twenty".