87373954800 has 2160 divisors, whose sum is σ = 401966772480. Its totient is φ = 18065203200.

The previous prime is 87373954771. The next prime is 87373954813. The reversal of 87373954800 is 845937378.

87373954800 is a `hidden beast` number, since 8 + 7 + 3 + 73 + 95 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3798867589 + ... + 3798867611.

It is an arithmetic number, because the mean of its divisors is an integer number (186095728).

Almost surely, 2^87373954800 is an apocalyptic number.

87373954800 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 87373954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200983386240).

87373954800 is an abundant number, since it is smaller than the sum of its proper divisors (314592817680).

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

87373954800 is a wasteful number, since it uses less digits than its factorization.

87373954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 87373954800 in words is "eighty-seven billion, three hundred seventy-three million, nine hundred fifty-four thousand, eight hundred".