87358140796800 has 768 divisors, whose sum is σ = 295695266791680. Its totient is φ = 22660340121600.

The previous prime is 87358140796783. The next prime is 87358140796853. The reversal of 87358140796800 is 869704185378.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61218037687 + ... + 61218039113.

It is an arithmetic number, because the mean of its divisors is an integer number (385019878635).

Almost surely, 2^{87358140796800} is an apocalyptic number.

87358140796800 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 87358140796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847633395840).

87358140796800 is an abundant number, since it is smaller than the sum of its proper divisors (208337125994880).

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

87358140796800 is a wasteful number, since it uses less digits than its factorization.

87358140796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 87358140796800 in words is "eighty-seven trillion, three hundred fifty-eight billion, one hundred forty million, seven hundred ninety-six thousand, eight hundred".