689280153120 has 1152 divisors, whose sum is σ = 2813520842496. Its totient is φ = 157851058176.

The previous prime is 689280153113. The next prime is 689280153139. The reversal of 689280153120 is 21351082986.

689280153120 is a `hidden beast` number, since 6 + 8 + 92 + 8 + 0 + 1 + 531 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 833470147 + ... + 833470973.

It is an arithmetic number, because the mean of its divisors is an integer number (2442292398).

Almost surely, 2^689280153120 is an apocalyptic number.

689280153120 is a gapful number since it is divisible by the number (60) 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 689280153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406760421248).

689280153120 is an abundant number, since it is smaller than the sum of its proper divisors (2124240689376).

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

689280153120 is a wasteful number, since it uses less digits than its factorization.

689280153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 689280153120 in words is "six hundred eighty-nine billion, two hundred eighty million, one hundred fifty-three thousand, one hundred twenty".