87550766400 has 336 divisors, whose sum is σ = 291073433600. Its totient is φ = 23037696000.

The previous prime is 87550766399. The next prime is 87550766441. The reversal of 87550766400 is 466705578.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87550766400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144234897 + ... + 144235503.

Almost surely, 2^87550766400 is an apocalyptic number.

87550766400 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 87550766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145536716800).

87550766400 is an abundant number, since it is smaller than the sum of its proper divisors (203522667200).

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

87550766400 is a wasteful number, since it uses less digits than its factorization.

87550766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 87550766400 in words is "eighty-seven billion, five hundred fifty million, seven hundred sixty-six thousand, four hundred".