83697401356800 has 5760 divisors, whose sum is σ = 401154004500480. Its totient is φ = 14948499456000.

The previous prime is 83697401356787. The next prime is 83697401356861. The reversal of 83697401356800 is 865310479638.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 325670822272 + ... + 325670822528.

It is an arithmetic number, because the mean of its divisors is an integer number (69644792448).

Almost surely, 2^{83697401356800} is an apocalyptic number.

83697401356800 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 83697401356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200577002250240).

83697401356800 is an abundant number, since it is smaller than the sum of its proper divisors (317456603143680).

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

83697401356800 is a wasteful number, since it uses less digits than its factorization.

83697401356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 83697401356800 in words is "eighty-three trillion, six hundred ninety-seven billion, four hundred one million, three hundred fifty-six thousand, eight hundred".