15435540252 has 192 divisors, whose sum is σ = 46389127680. Its totient is φ = 4386585600.

The previous prime is 15435540247. The next prime is 15435540259. The reversal of 15435540252 is 25204553451.

15435540252 is a `hidden beast` number, since 1 + 54 + 3 + 554 + 0 + 2 + 52 = 666.

It is a super-2 number, since 2×15435540252² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15435540259) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6400927 + ... + 6403337.

It is an arithmetic number, because the mean of its divisors is an integer number (241610040).

Almost surely, 2^15435540252 is an apocalyptic number.

15435540252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15435540252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23194563840).

15435540252 is an abundant number, since it is smaller than the sum of its proper divisors (30953587428).

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

15435540252 is a wasteful number, since it uses less digits than its factorization.

15435540252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 15435540252 in words is "fifteen billion, four hundred thirty-five million, five hundred forty thousand, two hundred fifty-two".