70171920000 has 2400 divisors, whose sum is σ = 346140152820. Its totient is φ = 13934592000.

The previous prime is 70171919957. The next prime is 70171920019. The reversal of 70171920000 is 2917107.

It can be written as a sum of positive squares in 10 ways, for example, as 7427681856 + 62744238144 = 86184^2 + 250488^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 4127759992 + ... + 4127760008.

Almost surely, 2^70171920000 is an apocalyptic number.

70171920000 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 70171920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173070076410).

70171920000 is an abundant number, since it is smaller than the sum of its proper divisors (275968232820).

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

70171920000 is a wasteful number, since it uses less digits than its factorization.

70171920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The spelling of 70171920000 in words is "seventy billion, one hundred seventy-one million, nine hundred twenty thousand".