83131272842400 has 360 divisors, whose sum is σ = 319119570665280. Its totient is φ = 21001584407040.

The previous prime is 83131272842393. The next prime is 83131272842407. The reversal of 83131272842400 is 424827213138.

83131272842400 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 127 + 284 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83131272842393) and next prime (83131272842407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (83131272842407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32529064 + ... + 34991463.

It is an arithmetic number, because the mean of its divisors is an integer number (886443251848).

Almost surely, 2^{83131272842400} is an apocalyptic number.

83131272842400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83131272842400 is an abundant number, since it is smaller than the sum of its proper divisors (235988297822880).

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

83131272842400 is a wasteful number, since it uses less digits than its factorization.

83131272842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67520578 (or 67520556 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 83131272842400 in words is "eighty-three trillion, one hundred thirty-one billion, two hundred seventy-two million, eight hundred forty-two thousand, four hundred".