87373292479200 has 2016 divisors, whose sum is σ = 402768767149056. Its totient is φ = 18005617889280.

The previous prime is 87373292479169. The next prime is 87373292479267. The reversal of 87373292479200 is 297429237378.

87373292479200 is a `hidden beast` number, since 8 + 7 + 3 + 73 + 2 + 92 + 479 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2282042457 + ... + 2282080743.

It is an arithmetic number, because the mean of its divisors is an integer number (199786094816).

Almost surely, 2^{87373292479200} is an apocalyptic number.

87373292479200 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 87373292479200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201384383574528).

87373292479200 is an abundant number, since it is smaller than the sum of its proper divisors (315395474669856).

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

87373292479200 is a wasteful number, since it uses less digits than its factorization.

87373292479200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38388 (or 38360 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 87373292479200 in words is "eighty-seven trillion, three hundred seventy-three billion, two hundred ninety-two million, four hundred seventy-nine thousand, two hundred".