1055513479680 has 640 divisors, whose sum is σ = 4111878608640. Its totient is φ = 254520852480.

The previous prime is 1055513479673. The next prime is 1055513479759. The reversal of 1055513479680 is 869743155501.

1055513479680 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 513 + 47 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1055513479680² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146738164 + ... + 146745356.

It is an arithmetic number, because the mean of its divisors is an integer number (6424810326).

Almost surely, 2^{1055513479680} is an apocalyptic number.

1055513479680 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 1055513479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055939304320).

1055513479680 is an abundant number, since it is smaller than the sum of its proper divisors (3056365128960).

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

1055513479680 is a wasteful number, since it uses less digits than its factorization.

1055513479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7429 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 1055513479680 in words is "one trillion, fifty-five billion, five hundred thirteen million, four hundred seventy-nine thousand, six hundred eighty".