1253140761600 has 2640 divisors, whose sum is σ = 5933787921600. Its totient is φ = 254166958080.

The previous prime is 1253140761577. The next prime is 1253140761601. The reversal of 1253140761600 is 61670413521.

1253140761600 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 1 + 40 + 7 + 6 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1253140761601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5472230286 + ... + 5472230514.

It is an arithmetic number, because the mean of its divisors is an integer number (2247646940).

Almost surely, 2^{1253140761600} is an apocalyptic number.

1253140761600 is a gapful number since it is divisible by the number (10) 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 1253140761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966893960800).

1253140761600 is an abundant number, since it is smaller than the sum of its proper divisors (4680647160000).

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

1253140761600 is a wasteful number, since it uses less digits than its factorization.

1253140761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1253140761600 in words is "one trillion, two hundred fifty-three billion, one hundred forty million, seven hundred sixty-one thousand, six hundred".