25293978000 has 640 divisors, whose sum is σ = 96797376000. Its totient is φ = 6295449600.

The previous prime is 25293977941. The next prime is 25293978001. The reversal of 25293978000 is 87939252.

25293978000 is a `hidden beast` number, since 252 + 9 + 397 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25293978001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91313862 + ... + 91314138.

It is an arithmetic number, because the mean of its divisors is an integer number (151245900).

Almost surely, 2^25293978000 is an apocalyptic number.

25293978000 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 25293978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48398688000).

25293978000 is an abundant number, since it is smaller than the sum of its proper divisors (71503398000).

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

25293978000 is a wasteful number, since it uses less digits than its factorization.

25293978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 25293978000 in words is "twenty-five billion, two hundred ninety-three million, nine hundred seventy-eight thousand".