10073521874430 has 288 divisors, whose sum is σ = 31457431848960. Its totient is φ = 2227723585920.

The previous prime is 10073521874411. The next prime is 10073521874489. The reversal of 10073521874430 is 3447812537001.

10073521874430 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 3 + 521 + 87 + 4 + 43 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1080961311 + ... + 1080970629.

It is an arithmetic number, because the mean of its divisors is an integer number (109227193920).

Almost surely, 2^{10073521874430} is an apocalyptic number.

10073521874430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10073521874430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728715924480).

10073521874430 is an abundant number, since it is smaller than the sum of its proper divisors (21383909974530).

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

10073521874430 is a wasteful number, since it uses less digits than its factorization.

10073521874430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17284 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10073521874430 in words is "ten trillion, seventy-three billion, five hundred twenty-one million, eight hundred seventy-four thousand, four hundred thirty".