1025693150400 has 1680 divisors, whose sum is σ = 4148824458240. Its totient is φ = 247571251200.

The previous prime is 1025693150381. The next prime is 1025693150401. The reversal of 1025693150400 is 40513965201.

1025693150400 is a `hidden beast` number, since 1 + 0 + 2 + 569 + 3 + 1 + 50 + 40 + 0 = 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 (1025693150401) 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, 12357748759 + ... + 12357748841.

It is an arithmetic number, because the mean of its divisors is an integer number (2469538368).

Almost surely, 2^{1025693150400} is an apocalyptic number.

1025693150400 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 1025693150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074412229120).

1025693150400 is an abundant number, since it is smaller than the sum of its proper divisors (3123131307840).

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

1025693150400 is a wasteful number, since it uses less digits than its factorization.

1025693150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1025693150400 in words is "one trillion, twenty-five billion, six hundred ninety-three million, one hundred fifty thousand, four hundred".