83156470800 has 480 divisors, whose sum is σ = 297560288256. Its totient is φ = 19713024000.

The previous prime is 83156470777. The next prime is 83156470823. The reversal of 83156470800 is 807465138.

It is an interprime number because it is at equal distance from previous prime (83156470777) and next prime (83156470823).

It is a super-2 number, since 2×83156470800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180382570 + ... + 180383030.

Almost surely, 2^83156470800 is an apocalyptic number.

83156470800 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 83156470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780144128).

83156470800 is an abundant number, since it is smaller than the sum of its proper divisors (214403817456).

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

83156470800 is a wasteful number, since it uses less digits than its factorization.

83156470800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 83156470800 in words is "eighty-three billion, one hundred fifty-six million, four hundred seventy thousand, eight hundred".