70100985217920 has 1024 divisors, whose sum is σ = 242039216102400. Its totient is φ = 17195120197632.

The previous prime is 70100985217919. The next prime is 70100985217957. The reversal of 70100985217920 is 2971258900107.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 94859248911 + ... + 94859249649.

It is an arithmetic number, because the mean of its divisors is an integer number (236366421975).

Almost surely, 2^{70100985217920} 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 70100985217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121019608051200).

70100985217920 is an abundant number, since it is smaller than the sum of its proper divisors (171938230884480).

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

70100985217920 is a wasteful number, since it uses less digits than its factorization.

70100985217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 70100985217920 in words is "seventy trillion, one hundred billion, nine hundred eighty-five million, two hundred seventeen thousand, nine hundred twenty".