10354115550402 has 224 divisors, whose sum is σ = 26399363937408. Its totient is φ = 3020382908928.

The previous prime is 10354115550367. The next prime is 10354115550413. The reversal of 10354115550402 is 20405551145301.

10354115550402 is a `hidden beast` number, since 1 + 0 + 3 + 54 + 1 + 15 + 550 + 40 + 2 = 666.

It is a super-3 number, since 3×10354115550402³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 49156353 + ... + 49366539.

It is an arithmetic number, because the mean of its divisors is an integer number (117854303292).

Almost surely, 2^{10354115550402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354115550402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199681968704).

10354115550402 is an abundant number, since it is smaller than the sum of its proper divisors (16045248387006).

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

10354115550402 is a wasteful number, since it uses less digits than its factorization.

10354115550402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210356 (or 210341 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 10354115550402 its reverse (20405551145301), we get a palindrome (30759666695703).

The spelling of 10354115550402 in words is "ten trillion, three hundred fifty-four billion, one hundred fifteen million, five hundred fifty thousand, four hundred two".