87153796800 has 1008 divisors, whose sum is σ = 379338831872. Its totient is φ = 19259596800.

The previous prime is 87153796783. The next prime is 87153796813. The reversal of 87153796800 is 869735178.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84369084 + ... + 84370116.

Almost surely, 2^87153796800 is an apocalyptic number.

87153796800 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 87153796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189669415936).

87153796800 is an abundant number, since it is smaller than the sum of its proper divisors (292185035072).

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

87153796800 is a wasteful number, since it uses less digits than its factorization.

87153796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 87153796800 in words is "eighty-seven billion, one hundred fifty-three million, seven hundred ninety-six thousand, eight hundred".