10997624619520 has 640 divisors, whose sum is σ = 33838014228480. Its totient is φ = 3328840826880.

The previous prime is 10997624619517. The next prime is 10997624619523. The reversal of 10997624619520 is 2591642679901.

It is an interprime number because it is at equal distance from previous prime (10997624619517) and next prime (10997624619523).

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

It is not an unprimeable number, because it can be changed into a prime (10997624619523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965290944 + ... + 965302336.

It is an arithmetic number, because the mean of its divisors is an integer number (52871897232).

Almost surely, 2^{10997624619520} is an apocalyptic number.

10997624619520 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 10997624619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16919007114240).

10997624619520 is an abundant number, since it is smaller than the sum of its proper divisors (22840389608960).

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

10997624619520 is a wasteful number, since it uses less digits than its factorization.

10997624619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 10997624619520 in words is "ten trillion, nine hundred ninety-seven billion, six hundred twenty-four million, six hundred nineteen thousand, five hundred twenty".