1059661451520 has 1728 divisors, whose sum is σ = 4589804943360. Its totient is φ = 220256796672.

The previous prime is 1059661451489. The next prime is 1059661451531. The reversal of 1059661451520 is 251541669501.

1059661451520 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 6 + 614 + 5 + 1 + 5 + 20 = 666.

It is a super-3 number, since 3×1059661451520³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 191 ways as a sum of consecutive naturals, for example, 7623463611 + ... + 7623463749.

It is an arithmetic number, because the mean of its divisors is an integer number (2656137120).

Almost surely, 2^{1059661451520} is an apocalyptic number.

1059661451520 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 1059661451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294902471680).

1059661451520 is an abundant number, since it is smaller than the sum of its proper divisors (3530143491840).

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

1059661451520 is a wasteful number, since it uses less digits than its factorization.

1059661451520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1059661451520 in words is "one trillion, fifty-nine billion, six hundred sixty-one million, four hundred fifty-one thousand, five hundred twenty".