25219212480 has 336 divisors, whose sum is σ = 108148794624. Its totient is φ = 5240309760.

The previous prime is 25219212467. The next prime is 25219212481. The reversal of 25219212480 is 8421291252.

25219212480 is a `hidden beast` number, since 2 + 521 + 9 + 2 + 124 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×25219212480² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (25219212481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164899 + ... + 278621.

Almost surely, 2^25219212480 is an apocalyptic number.

25219212480 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 25219212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54074397312).

25219212480 is an abundant number, since it is smaller than the sum of its proper divisors (82929582144).

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

25219212480 is a wasteful number, since it uses less digits than its factorization.

25219212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113764 (or 113751 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 25219212480 in words is "twenty-five billion, two hundred nineteen million, two hundred twelve thousand, four hundred eighty".