987365376000 has 1008 divisors, whose sum is σ = 3810707916288. Its totient is φ = 254803968000.

The previous prime is 987365375977. The next prime is 987365376001. The reversal of 987365376000 is 673563789.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987365376001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31850495985 + ... + 31850496015.

Almost surely, 2^987365376000 is an apocalyptic number.

987365376000 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 987365376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905353958144).

987365376000 is an abundant number, since it is smaller than the sum of its proper divisors (2823342540288).

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

987365376000 is an frugal number, since it uses more digits than its factorization.

987365376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 987365376000 in words is "nine hundred eighty-seven billion, three hundred sixty-five million, three hundred seventy-six thousand".