83021653680 has 480 divisors, whose sum is σ = 312109737984. Its totient is φ = 17880569856.

The previous prime is 83021653651. The next prime is 83021653697. The reversal of 83021653680 is 8635612038.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222577974 + ... + 222578346.

Almost surely, 2^83021653680 is an apocalyptic number.

83021653680 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 83021653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156054868992).

83021653680 is an abundant number, since it is smaller than the sum of its proper divisors (229088084304).

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

83021653680 is a wasteful number, since it uses less digits than its factorization.

83021653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 83021653680 in words is "eighty-three billion, twenty-one million, six hundred fifty-three thousand, six hundred eighty".