980134629120 has 216 divisors, whose sum is σ = 3516763491696. Its totient is φ = 261369151488.

The previous prime is 980134629059. The next prime is 980134629127. The reversal of 980134629120 is 21926431089.

980134629120 is a `hidden beast` number, since 9 + 8 + 0 + 1 + 3 + 4 + 629 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980134629127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264537 + ... + 1886616.

Almost surely, 2^980134629120 is an apocalyptic number.

980134629120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

980134629120 is an abundant number, since it is smaller than the sum of its proper divisors (2536628862576).

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

980134629120 is an equidigital number, since it uses as much as digits as its factorization.

980134629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151189 (or 3151163 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 980134629120 in words is "nine hundred eighty billion, one hundred thirty-four million, six hundred twenty-nine thousand, one hundred twenty".