2455765506432 has 640 divisors, whose sum is σ = 9309225024000. Its totient is φ = 625611423744.

The previous prime is 2455765506431. The next prime is 2455765506457. The reversal of 2455765506432 is 2346055675542.

2455765506432 is a `hidden beast` number, since 2 + 4 + 5 + 57 + 6 + 550 + 6 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455765506431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23389669 + ... + 23494427.

It is an arithmetic number, because the mean of its divisors is an integer number (14545664100).

Almost surely, 2^{2455765506432} 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 2455765506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654612512000).

2455765506432 is an abundant number, since it is smaller than the sum of its proper divisors (6853459517568).

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

2455765506432 is a wasteful number, since it uses less digits than its factorization.

2455765506432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104828 (or 104807 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 2455765506432 in words is "two trillion, four hundred fifty-five billion, seven hundred sixty-five million, five hundred six thousand, four hundred thirty-two".