83537401920 has 224 divisors, whose sum is σ = 303601575168. Its totient is φ = 19064020992.

The previous prime is 83537401901. The next prime is 83537401933. The reversal of 83537401920 is 2910473538.

It is a tau number, because it is divible by the number of its divisors (224).

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378642 + ... + 4397678.

Almost surely, 2^83537401920 is an apocalyptic number.

83537401920 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 83537401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151800787584).

83537401920 is an abundant number, since it is smaller than the sum of its proper divisors (220064173248).

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

83537401920 is a wasteful number, since it uses less digits than its factorization.

83537401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19717 (or 19707 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 83537401920 in words is "eighty-three billion, five hundred thirty-seven million, four hundred one thousand, nine hundred twenty".