988025713920 has 1134 divisors, whose sum is σ = 4141387656042. Its totient is φ = 225834448896.

The previous prime is 988025713819. The next prime is 988025713943. The reversal of 988025713920 is 29317520889.

988025713920 is a `hidden beast` number, since 98 + 80 + 25 + 71 + 392 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 790420571136 + 197605142784 = 889056^2 + 444528^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is a super-2 number, since 2×988025713920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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 125 ways as a sum of consecutive naturals, for example, 141146530557 + ... + 141146530563.

Almost surely, 2^988025713920 is an apocalyptic number.

988025713920 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 988025713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070693828021).

988025713920 is an abundant number, since it is smaller than the sum of its proper divisors (3153361942122).

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

988025713920 is an frugal number, since it uses more digits than its factorization.

988025713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 988025713920 in words is "nine hundred eighty-eight billion, twenty-five million, seven hundred thirteen thousand, nine hundred twenty".