27400157501376 has 1008 divisors, whose sum is σ = 88212293496320. Its totient is φ = 7478994124800.

The previous prime is 27400157501341. The next prime is 27400157501389. The reversal of 27400157501376 is 67310575100472.

It is a super-2 number, since 2×27400157501376² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63279809256 + ... + 63279809688.

Almost surely, 2^{27400157501376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27400157501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44106146748160).

27400157501376 is an abundant number, since it is smaller than the sum of its proper divisors (60812135994944).

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

27400157501376 is a wasteful number, since it uses less digits than its factorization.

27400157501376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 27400157501376 in words is "twenty-seven trillion, four hundred billion, one hundred fifty-seven million, five hundred one thousand, three hundred seventy-six".