83021178240 has 2304 divisors, whose sum is σ = 418264741440. Its totient is φ = 14987427840.

The previous prime is 83021178211. The next prime is 83021178269. The reversal of 83021178240 is 4287112038.

It is an interprime number because it is at equal distance from previous prime (83021178211) and next prime (83021178269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83021178195 and 83021178204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4883598712 + ... + 4883598728.

Almost surely, 2^83021178240 is an apocalyptic number.

83021178240 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 83021178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209132370720).

83021178240 is an abundant number, since it is smaller than the sum of its proper divisors (335243563200).

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

83021178240 is a wasteful number, since it uses less digits than its factorization.

83021178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 83021178240 in words is "eighty-three billion, twenty-one million, one hundred seventy-eight thousand, two hundred forty".