80900977969152 has 864 divisors, whose sum is σ = 275531805057600. Its totient is φ = 23669576663040.

The previous prime is 80900977969129. The next prime is 80900977969159. The reversal of 80900977969152 is 25196977900908.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (80900977969159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1746279813 + ... + 1746326139.

It is an arithmetic number, because the mean of its divisors is an integer number (318902552150).

Almost surely, 2^{80900977969152} 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 80900977969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137765902528800).

80900977969152 is an abundant number, since it is smaller than the sum of its proper divisors (194630827088448).

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

80900977969152 is a wasteful number, since it uses less digits than its factorization.

80900977969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46415 (or 46372 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 72.

The spelling of 80900977969152 in words is "eighty trillion, nine hundred billion, nine hundred seventy-seven million, nine hundred sixty-nine thousand, one hundred fifty-two".