820973070912 has 224 divisors, whose sum is σ = 2336273858304. Its totient is φ = 253764403200.

The previous prime is 820973070899. The next prime is 820973070919. The reversal of 820973070912 is 219070379028.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (820973070919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45904212 + ... + 45922092.

Almost surely, 2^820973070912 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 820973070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168136929152).

820973070912 is an abundant number, since it is smaller than the sum of its proper divisors (1515300787392).

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

820973070912 is a wasteful number, since it uses less digits than its factorization.

820973070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18237 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 820973070912 in words is "eight hundred twenty billion, nine hundred seventy-three million, seventy thousand, nine hundred twelve".