26142669840 has 320 divisors, whose sum is σ = 93918988800. Its totient is φ = 5892341760.

The previous prime is 26142669827. The next prime is 26142669857. The reversal of 26142669840 is 4896624162.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26142669840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45307632 + ... + 45308208.

It is an arithmetic number, because the mean of its divisors is an integer number (293496840).

Almost surely, 2^26142669840 is an apocalyptic number.

26142669840 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 26142669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46959494400).

26142669840 is an abundant number, since it is smaller than the sum of its proper divisors (67776318960).

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

26142669840 is a wasteful number, since it uses less digits than its factorization.

26142669840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 26142669840 in words is "twenty-six billion, one hundred forty-two million, six hundred sixty-nine thousand, eight hundred forty".