10321088253408 has 384 divisors, whose sum is σ = 32406780672000. Its totient is φ = 3186132019200.

The previous prime is 10321088253349. The next prime is 10321088253473. The reversal of 10321088253408 is 80435288012301.

10321088253408 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 108 + 8 + 2 + 534 + 0 + 8 = 666.

It is a super-2 number, since 2×10321088253408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 130943866 + ... + 131022662.

It is an arithmetic number, because the mean of its divisors is an integer number (84392658000).

Almost surely, 2^{10321088253408} is an apocalyptic number.

10321088253408 is a gapful number since it is divisible by the number (18) 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 10321088253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203390336000).

10321088253408 is an abundant number, since it is smaller than the sum of its proper divisors (22085692418592).

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

10321088253408 is a wasteful number, since it uses less digits than its factorization.

10321088253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79015 (or 79001 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 10321088253408 in words is "ten trillion, three hundred twenty-one billion, eighty-eight million, two hundred fifty-three thousand, four hundred eight".