10045535620624 has 320 divisors, whose sum is σ = 23780797931520. Its totient is φ = 4018281062400.

The previous prime is 10045535620613. The next prime is 10045535620657. The reversal of 10045535620624 is 42602653554001.

It is a super-2 number, since 2×10045535620624² (a number of 27 digits) contains 22 as substring.

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, 11973224397 + ... + 11973225235.

It is an arithmetic number, because the mean of its divisors is an integer number (74314993536).

Almost surely, 2^{10045535620624} is an apocalyptic number.

10045535620624 is a gapful number since it is divisible by the number (14) 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 10045535620624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890398965760).

10045535620624 is an abundant number, since it is smaller than the sum of its proper divisors (13735262310896).

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

10045535620624 is a wasteful number, since it uses less digits than its factorization.

10045535620624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 10045535620624 in words is "ten trillion, forty-five billion, five hundred thirty-five million, six hundred twenty thousand, six hundred twenty-four".