87666050336400 has 480 divisors, whose sum is σ = 317003148000000. Its totient is φ = 23007504384000.

The previous prime is 87666050336399. The next prime is 87666050336407. The reversal of 87666050336400 is 463305066678.

87666050336400 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (87666050336407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181922976 + ... + 182404224.

It is an arithmetic number, because the mean of its divisors is an integer number (660423225000).

Almost surely, 2^{87666050336400} is an apocalyptic number.

87666050336400 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 87666050336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158501574000000).

87666050336400 is an abundant number, since it is smaller than the sum of its proper divisors (229337097663600).

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

87666050336400 is a wasteful number, since it uses less digits than its factorization.

87666050336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481544 (or 481527 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 87666050336400 in words is "eighty-seven trillion, six hundred sixty-six billion, fifty million, three hundred thirty-six thousand, four hundred".