2523096378000 has 1600 divisors, whose sum is σ = 10816266928896. Its totient is φ = 559872000000.

The previous prime is 2523096377987. The next prime is 2523096378007. The reversal of 2523096378000 is 8736903252.

2523096378000 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 0 + 9 + 637 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2523096378007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1120876875 + ... + 1120879125.

Almost surely, 2^{2523096378000} is an apocalyptic number.

2523096378000 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 2523096378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408133464448).

2523096378000 is an abundant number, since it is smaller than the sum of its proper divisors (8293170550896).

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

2523096378000 is a wasteful number, since it uses less digits than its factorization.

2523096378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2523096378000 in words is "two trillion, five hundred twenty-three billion, ninety-six million, three hundred seventy-eight thousand".