10823620401984 has 224 divisors, whose sum is σ = 31049443290880. Its totient is φ = 3327492040704.

The previous prime is 10823620401911. The next prime is 10823620402019. The reversal of 10823620401984 is 48910402632801.

It is a super-2 number, since 2×10823620401984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521785917 + ... + 521806659.

It is an arithmetic number, because the mean of its divisors is an integer number (138613586120).

Almost surely, 2^{10823620401984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10823620401984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524721645440).

10823620401984 is an abundant number, since it is smaller than the sum of its proper divisors (20225822888896).

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

10823620401984 is a wasteful number, since it uses less digits than its factorization.

10823620401984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22034 (or 21998 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 10823620401984 in words is "ten trillion, eight hundred twenty-three billion, six hundred twenty million, four hundred one thousand, nine hundred eighty-four".