2545712695680 has 768 divisors, whose sum is σ = 10839435552000. Its totient is φ = 501134376960.

The previous prime is 2545712695657. The next prime is 2545712695697. The reversal of 2545712695680 is 865962175452.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 19597986 + ... + 19727454.

It is an arithmetic number, because the mean of its divisors is an integer number (14113848375).

Almost surely, 2^{2545712695680} is an apocalyptic number.

2545712695680 is a gapful number since it is divisible by the number (20) 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 2545712695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419717776000).

2545712695680 is an abundant number, since it is smaller than the sum of its proper divisors (8293722856320).

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

2545712695680 is a wasteful number, since it uses less digits than its factorization.

2545712695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129535 (or 129516 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 2545712695680 in words is "two trillion, five hundred forty-five billion, seven hundred twelve million, six hundred ninety-five thousand, six hundred eighty".