87730355664000 has 2048 divisors, whose sum is σ = 378221875200000. Its totient is φ = 19570835865600.

The previous prime is 87730355663959. The next prime is 87730355664101. The reversal of 87730355664000 is 46655303778.

87730355664000 is a `hidden beast` number, since 8 + 7 + 7 + 3 + 0 + 35 + 566 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70921871382 + ... + 70921872618.

It is an arithmetic number, because the mean of its divisors is an integer number (184678650000).

Almost surely, 2^{87730355664000} is an apocalyptic number.

87730355664000 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 87730355664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189110937600000).

87730355664000 is an abundant number, since it is smaller than the sum of its proper divisors (290491519536000).

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

87730355664000 is a wasteful number, since it uses less digits than its factorization.

87730355664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 87730355664000 in words is "eighty-seven trillion, seven hundred thirty billion, three hundred fifty-five million, six hundred sixty-four thousand".