83079235008000 has 8640 divisors, whose sum is σ = 428049877679424. Its totient is φ = 15941173248000.

The previous prime is 83079235007987. The next prime is 83079235008061. The reversal of 83079235008000 is 80053297038.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1567532735974 + ... + 1567532736026.

Almost surely, 2^{83079235008000} is an apocalyptic number.

83079235008000 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 83079235008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214024938839712).

83079235008000 is an abundant number, since it is smaller than the sum of its proper divisors (344970642671424).

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

83079235008000 is a wasteful number, since it uses less digits than its factorization.

83079235008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 83079235008000 in words is "eighty-three trillion, seventy-nine billion, two hundred thirty-five million, eight thousand".