87909738890400 has 1728 divisors, whose sum is σ = 389665497312000. Its totient is φ = 18879779635200.

The previous prime is 87909738890353. The next prime is 87909738890429. The reversal of 87909738890400 is 409883790978.

87909738890400 is a `hidden beast` number, since 8 + 79 + 0 + 9 + 73 + 8 + 89 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15291306726 + ... + 15291312474.

It is an arithmetic number, because the mean of its divisors is an integer number (225500866500).

Almost surely, 2^{87909738890400} is an apocalyptic number.

87909738890400 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 87909738890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194832748656000).

87909738890400 is an abundant number, since it is smaller than the sum of its proper divisors (301755758421600).

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

87909738890400 is a wasteful number, since it uses less digits than its factorization.

87909738890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 87909738890400 in words is "eighty-seven trillion, nine hundred nine billion, seven hundred thirty-eight million, eight hundred ninety thousand, four hundred".