10354121545530 has 192 divisors, whose sum is σ = 29066563584000. Its totient is φ = 2353630156416.

The previous prime is 10354121545501. The next prime is 10354121545591. The reversal of 10354121545530 is 3554512145301.

It is a super-3 number, since 3×10354121545530³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195337971 + ... + 195390969.

It is an arithmetic number, because the mean of its divisors is an integer number (151388352000).

Almost surely, 2^{10354121545530} is an apocalyptic number.

10354121545530 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 10354121545530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533281792000).

10354121545530 is an abundant number, since it is smaller than the sum of its proper divisors (18712442038470).

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

10354121545530 is a wasteful number, since it uses less digits than its factorization.

10354121545530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53753 (or 53746 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 10354121545530 in words is "ten trillion, three hundred fifty-four billion, one hundred twenty-one million, five hundred forty-five thousand, five hundred thirty".