2025587088000 has 1920 divisors, whose sum is σ = 8849841960960. Its totient is φ = 457809408000.

The previous prime is 2025587087983. The next prime is 2025587088029. The reversal of 2025587088000 is 8807855202.

2025587088000 is a `hidden beast` number, since 20 + 2 + 558 + 70 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10605167905 + ... + 10605168095.

It is an arithmetic number, because the mean of its divisors is an integer number (4609292688).

Almost surely, 2^{2025587088000} is an apocalyptic number.

2025587088000 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 2025587088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424920980480).

2025587088000 is an abundant number, since it is smaller than the sum of its proper divisors (6824254872960).

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

2025587088000 is a wasteful number, since it uses less digits than its factorization.

2025587088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 2025587088000 in words is "two trillion, twenty-five billion, five hundred eighty-seven million, eighty-eight thousand".