35552153023002 has 384 divisors, whose sum is σ = 99992906956800. Its totient is φ = 8858198361600.

The previous prime is 35552153022929. The next prime is 35552153023003. The reversal of 35552153023002 is 20032035125553.

35552153023002 is a `hidden beast` number, since 3 + 55 + 52 + 1 + 530 + 23 + 0 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (35552153023003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7423708824 + ... + 7423713612.

It is an arithmetic number, because the mean of its divisors is an integer number (260398195200).

Almost surely, 2^{35552153023002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35552153023002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996453478400).

35552153023002 is an abundant number, since it is smaller than the sum of its proper divisors (64440753933798).

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

35552153023002 is a wasteful number, since it uses less digits than its factorization.

35552153023002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 35552153023002 its reverse (20032035125553), we get a palindrome (55584188148555).

The spelling of 35552153023002 in words is "thirty-five trillion, five hundred fifty-two billion, one hundred fifty-three million, twenty-three thousand, two".