987332842460160 has 2464 divisors, whose sum is σ = 4119798304972800. Its totient is φ = 222285057490944.

The previous prime is 987332842460147. The next prime is 987332842460243. The reversal of 987332842460160 is 61064248233789.

987332842460160 is a `hidden beast` number, since 9 + 8 + 7 + 3 + 3 + 2 + 8 + 4 + 2 + 460 + 160 = 666.

It is a super-2 number, since 2×987332842460160² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 494408032282 + ... + 494408034278.

Almost surely, 2^{987332842460160} is an apocalyptic number.

987332842460160 is a gapful number since it is divisible by the number (90) 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 987332842460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059899152486400).

987332842460160 is an abundant number, since it is smaller than the sum of its proper divisors (3132465462512640).

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

987332842460160 is a wasteful number, since it uses less digits than its factorization.

987332842460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 987332842460160 in words is "nine hundred eighty-seven trillion, three hundred thirty-two billion, eight hundred forty-two million, four hundred sixty thousand, one hundred sixty".