2535797505780 has 1152 divisors, whose sum is σ = 10536929894400. Its totient is φ = 494165422080.

The previous prime is 2535797505779. The next prime is 2535797505781. The reversal of 2535797505780 is 875057975352.

2535797505780 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 7 + 9 + 7 + 50 + 578 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2535797505779) and next prime (2535797505781).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535797505781) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 895091244 + ... + 895094076.

Almost surely, 2^{2535797505780} is an apocalyptic number.

2535797505780 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 2535797505780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268464947200).

2535797505780 is an abundant number, since it is smaller than the sum of its proper divisors (8001132388620).

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

2535797505780 is a wasteful number, since it uses less digits than its factorization.

2535797505780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 92610000, while the sum is 63.

The spelling of 2535797505780 in words is "two trillion, five hundred thirty-five billion, seven hundred ninety-seven million, five hundred five thousand, seven hundred eighty".