2150355217752 has 384 divisors, whose sum is σ = 7082670067200. Its totient is φ = 575713142784.

The previous prime is 2150355217727. The next prime is 2150355217763. The reversal of 2150355217752 is 2577125530512.

2150355217752 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 3 + 5 + 521 + 77 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2150355217698 and 2150355217707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898601068 + ... + 898603460.

It is an arithmetic number, because the mean of its divisors is an integer number (18444453300).

Almost surely, 2^{2150355217752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150355217752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541335033600).

2150355217752 is an abundant number, since it is smaller than the sum of its proper divisors (4932314849448).

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

2150355217752 is a wasteful number, since it uses less digits than its factorization.

2150355217752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 2150355217752 in words is "two trillion, one hundred fifty billion, three hundred fifty-five million, two hundred seventeen thousand, seven hundred fifty-two".