25073853840 has 480 divisors, whose sum is σ = 99358212096. Its totient is φ = 5547709440.

The previous prime is 25073853817. The next prime is 25073853853. The reversal of 25073853840 is 4835837052.

25073853840 is a `hidden beast` number, since 2 + 5 + 0 + 73 + 8 + 538 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 27522985 + ... + 27523895.

Almost surely, 2^25073853840 is an apocalyptic number.

25073853840 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 25073853840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49679106048).

25073853840 is an abundant number, since it is smaller than the sum of its proper divisors (74284358256).

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

25073853840 is a wasteful number, since it uses less digits than its factorization.

25073853840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25073853840 in words is "twenty-five billion, seventy-three million, eight hundred fifty-three thousand, eight hundred forty".