83556055055004 has 96 divisors (see below), whose sum is σ = 224188608107520. Its totient is φ = 23726157937152.

The previous prime is 83556055054963. The next prime is 83556055055017. The reversal of 83556055055004 is 40055055065538.

It is a super-2 number, since 2×83556055055004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82218082 + ... + 83228150.

It is an arithmetic number, because the mean of its divisors is an integer number (2335298001120).

Almost surely, 2^{83556055055004} is an apocalyptic number.

83556055055004 is a gapful number since it is divisible by the number (84) 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 83556055055004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112094304053760).

83556055055004 is an abundant number, since it is smaller than the sum of its proper divisors (140632553052516).

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

83556055055004 is a wasteful number, since it uses less digits than its factorization.

83556055055004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016147 (or 1016145 counting only the distinct ones).

The product of its (nonzero) digits is 9000000, while the sum is 51.

The spelling of 83556055055004 in words is "eighty-three trillion, five hundred fifty-six billion, fifty-five million, fifty-five thousand, four".