26157978000 has 1120 divisors, whose sum is σ = 118739043072. Its totient is φ = 5412096000.

The previous prime is 26157977959. The next prime is 26157978019. The reversal of 26157978000 is 87975162.

26157978000 is a `hidden beast` number, since 2 + 6 + 1 + 579 + 78 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 112265884 + ... + 112266116.

Almost surely, 2^26157978000 is an apocalyptic number.

26157978000 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 26157978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59369521536).

26157978000 is an abundant number, since it is smaller than the sum of its proper divisors (92581065072).

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

26157978000 is a wasteful number, since it uses less digits than its factorization.

26157978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 26157978000 in words is "twenty-six billion, one hundred fifty-seven million, nine hundred seventy-eight thousand".