27970950407400 has 6048 divisors, whose sum is σ = 142407077551200. Its totient is φ = 5043886848000.

The previous prime is 27970950407399. The next prime is 27970950407423. The reversal of 27970950407400 is 470405907972.

27970950407400 is a `hidden beast` number, since 2 + 7 + 97 + 0 + 9 + 504 + 0 + 7 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1511 ways as a sum of consecutive naturals, for example, 213518705335 + ... + 213518705465.

It is an arithmetic number, because the mean of its divisors is an integer number (23546143775).

Almost surely, 2^{27970950407400} is an apocalyptic number.

27970950407400 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 27970950407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71203538775600).

27970950407400 is an abundant number, since it is smaller than the sum of its proper divisors (114436127143800).

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

27970950407400 is a wasteful number, since it uses less digits than its factorization.

27970950407400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 27970950407400 in words is "twenty-seven trillion, nine hundred seventy billion, nine hundred fifty million, four hundred seven thousand, four hundred".