10437080752896 has 288 divisors, whose sum is σ = 31841443511808. Its totient is φ = 2973084549120.

The previous prime is 10437080752883. The next prime is 10437080752919. The reversal of 10437080752896 is 69825708073401.

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, 2934235150 + ... + 2934238706.

It is a 1-persistent number, because it is pandigital, but 2⋅10437080752896 = 20874161505792 is not.

Almost surely, 2^{10437080752896} is an apocalyptic number.

10437080752896 is a gapful number since it is divisible by the number (16) 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 10437080752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920721755904).

10437080752896 is an abundant number, since it is smaller than the sum of its proper divisors (21404362758912).

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

10437080752896 is an equidigital number, since it uses as much as digits as its factorization.

10437080752896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 10437080752896 in words is "ten trillion, four hundred thirty-seven billion, eighty million, seven hundred fifty-two thousand, eight hundred ninety-six".