20270053440 has 1344 divisors, whose sum is σ = 93400473600. Its totient is φ = 4096770048.

The previous prime is 20270053439. The next prime is 20270053457. The reversal of 20270053440 is 4435007202.

20270053440 is a `hidden beast` number, since 20 + 2 + 70 + 0 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159606657 + ... + 159606783.

It is an arithmetic number, because the mean of its divisors is an integer number (69494400).

Almost surely, 2^20270053440 is an apocalyptic number.

20270053440 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 20270053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46700236800).

20270053440 is an abundant number, since it is smaller than the sum of its proper divisors (73130420160).

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

20270053440 is a wasteful number, since it uses less digits than its factorization.

20270053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20270053440 in words is "twenty billion, two hundred seventy million, fifty-three thousand, four hundred forty".