25477670400 has 960 divisors, whose sum is σ = 108431059968. Its totient is φ = 5125570560.

The previous prime is 25477670341. The next prime is 25477670417. The reversal of 25477670400 is 407677452.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×25477670400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 80371042 + ... + 80371358.

Almost surely, 2^25477670400 is an apocalyptic number.

25477670400 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 25477670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54215529984).

25477670400 is an abundant number, since it is smaller than the sum of its proper divisors (82953389568).

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

25477670400 is a wasteful number, since it uses less digits than its factorization.

25477670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 25477670400 in words is "twenty-five billion, four hundred seventy-seven million, six hundred seventy thousand, four hundred".