10590497069400 has 480 divisors, whose sum is σ = 38803517346000. Its totient is φ = 2669604065280.

The previous prime is 10590497069389. The next prime is 10590497069401. The reversal of 10590497069400 is 496079409501.

It is a happy number.

10590497069400 is a `hidden beast` number, since 1 + 0 + 5 + 90 + 4 + 97 + 0 + 69 + 400 = 666.

It is a super-2 number, since 2×10590497069400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10590497069401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 140626956 + ... + 140702244.

Almost surely, 2^{10590497069400} is an apocalyptic number.

10590497069400 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 10590497069400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401758673000).

10590497069400 is an abundant number, since it is smaller than the sum of its proper divisors (28213020276600).

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

10590497069400 is a wasteful number, since it uses less digits than its factorization.

10590497069400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75793 (or 75775 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10590497069400 in words is "ten trillion, five hundred ninety billion, four hundred ninety-seven million, sixty-nine thousand, four hundred".