80948467392000 has 1280 divisors, whose sum is σ = 299986505634816. Its totient is φ = 19236372480000.

The previous prime is 80948467391989. The next prime is 80948467392011. The reversal of 80948467392000 is 29376484908.

It is an interprime number because it is at equal distance from previous prime (80948467391989) and next prime (80948467392011).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×80948467392000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12098108655 + ... + 12098115345.

Almost surely, 2^{80948467392000} is an apocalyptic number.

80948467392000 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 80948467392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149993252817408).

80948467392000 is an abundant number, since it is smaller than the sum of its proper divisors (219038038242816).

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

80948467392000 is a wasteful number, since it uses less digits than its factorization.

80948467392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 80948467392000 in words is "eighty trillion, nine hundred forty-eight billion, four hundred sixty-seven million, three hundred ninety-two thousand".