1097285379520 has 896 divisors, whose sum is σ = 3244437504000. Its totient is φ = 348875735040.

The previous prime is 1097285379511. The next prime is 1097285379527. The reversal of 1097285379520 is 259735827901.

It is a happy number.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097285379527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4920562129 + ... + 4920562351.

It is an arithmetic number, because the mean of its divisors is an integer number (3621024000).

Almost surely, 2^{1097285379520} is an apocalyptic number.

1097285379520 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 1097285379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622218752000).

1097285379520 is an abundant number, since it is smaller than the sum of its proper divisors (2147152124480).

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

1097285379520 is a wasteful number, since it uses less digits than its factorization.

1097285379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 1097285379520 in words is "one trillion, ninety-seven billion, two hundred eighty-five million, three hundred seventy-nine thousand, five hundred twenty".