80735645172000 has 576 divisors, whose sum is σ = 331339119156864. Its totient is φ = 17034332313600.

The previous prime is 80735645171963. The next prime is 80735645172071. The reversal of 80735645172000 is 27154653708.

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

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, 2363019 + ... + 12924981.

It is an arithmetic number, because the mean of its divisors is an integer number (575241526314).

Almost surely, 2^{80735645172000} is an apocalyptic number.

80735645172000 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 80735645172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165669559578432).

80735645172000 is an abundant number, since it is smaller than the sum of its proper divisors (250603473984864).

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

80735645172000 is a wasteful number, since it uses less digits than its factorization.

80735645172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10562018 (or 10561993 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 80735645172000 in words is "eighty trillion, seven hundred thirty-five billion, six hundred forty-five million, one hundred seventy-two thousand".