26037212087040 has 1152 divisors, whose sum is σ = 105584925745152. Its totient is φ = 5311604981760.

The previous prime is 26037212087039. The next prime is 26037212087077. The reversal of 26037212087040 is 4078021273062.

It is a happy number.

26037212087040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 26037212086983 and 26037212087001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3575063239 + ... + 3575070521.

It is an arithmetic number, because the mean of its divisors is an integer number (91653581376).

Almost surely, 2^{26037212087040} is an apocalyptic number.

26037212087040 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 26037212087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52792462872576).

26037212087040 is an abundant number, since it is smaller than the sum of its proper divisors (79547713658112).

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

26037212087040 is a wasteful number, since it uses less digits than its factorization.

26037212087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 26037212087040 in words is "twenty-six trillion, thirty-seven billion, two hundred twelve million, eighty-seven thousand, forty".