80573713190400 has 960 divisors, whose sum is σ = 283999358877696. Its totient is φ = 20104458240000.

The previous prime is 80573713190389. The next prime is 80573713190419. The reversal of 80573713190400 is 409131737508.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a self number, because there is not a number n which added to its sum of digits gives 80573713190400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4643741725 + ... + 4643759075.

Almost surely, 2^{80573713190400} is an apocalyptic number.

80573713190400 is a gapful number since it is divisible by the number (80) 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 80573713190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141999679438848).

80573713190400 is an abundant number, since it is smaller than the sum of its proper divisors (203425645687296).

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

80573713190400 is a wasteful number, since it uses less digits than its factorization.

80573713190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17543 (or 17522 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 80573713190400 in words is "eighty trillion, five hundred seventy-three billion, seven hundred thirteen million, one hundred ninety thousand, four hundred".