1029870789480 has 192 divisors, whose sum is σ = 3632065557120. Its totient is φ = 251571340800.

The previous prime is 1029870789469. The next prime is 1029870789523. The reversal of 1029870789480 is 849870789201.

1029870789480 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 8 + 70 + 7 + 89 + 480 = 666.

1029870789480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226836 + ... + 1452995.

It is an arithmetic number, because the mean of its divisors is an integer number (18917008110).

Almost surely, 2^{1029870789480} is an apocalyptic number.

1029870789480 is a gapful number since it is divisible by the number (10) 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 1029870789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816032778560).

1029870789480 is an abundant number, since it is smaller than the sum of its proper divisors (2602194767640).

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

1029870789480 is a wasteful number, since it uses less digits than its factorization.

1029870789480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679992 (or 1679985 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 1029870789480 in words is "one trillion, twenty-nine billion, eight hundred seventy million, seven hundred eighty-nine thousand, four hundred eighty".