87510092800 has 396 divisors, whose sum is σ = 238291188120. Its totient is φ = 31846563840.

The previous prime is 87510092797. The next prime is 87510092801. The reversal of 87510092800 is 829001578.

It is a super-2 number, since 2×87510092800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (87510092801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488883111 + ... + 488883289.

Almost surely, 2^87510092800 is an apocalyptic number.

87510092800 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 87510092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119145594060).

87510092800 is an abundant number, since it is smaller than the sum of its proper divisors (150781095320).

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

87510092800 is a wasteful number, since it uses less digits than its factorization.

87510092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 87510092800 in words is "eighty-seven billion, five hundred ten million, ninety-two thousand, eight hundred".