988617021480 has 2048 divisors, whose sum is σ = 4232632320000. Its totient is φ = 202103193600.

The previous prime is 988617021419. The next prime is 988617021499. The reversal of 988617021480 is 84120716889.

988617021480 is a `hidden beast` number, since 9 + 8 + 8 + 617 + 0 + 2 + 14 + 8 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5523000031 + ... + 5523000209.

It is an arithmetic number, because the mean of its divisors is an integer number (2066715000).

Almost surely, 2^988617021480 is an apocalyptic number.

988617021480 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 988617021480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116316160000).

988617021480 is an abundant number, since it is smaller than the sum of its proper divisors (3244015298520).

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

988617021480 is a wasteful number, since it uses less digits than its factorization.

988617021480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 988617021480 in words is "nine hundred eighty-eight billion, six hundred seventeen million, twenty-one thousand, four hundred eighty".