157055090024448 has 1344 divisors, whose sum is σ = 598350249649152. Its totient is φ = 38483043287040.

The previous prime is 157055090024381. The next prime is 157055090024461. The reversal of 157055090024448 is 844420090550751.

157055090024448 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 550 + 9 + 0 + 0 + 2 + 44 + 48 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157055090024394 and 157055090024403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9531768786 + ... + 9531785262.

It is an arithmetic number, because the mean of its divisors is an integer number (445201078608).

Almost surely, 2^{157055090024448} is an apocalyptic number.

157055090024448 is a gapful number since it is divisible by the number (18) 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 157055090024448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299175124824576).

157055090024448 is an abundant number, since it is smaller than the sum of its proper divisors (441295159624704).

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

157055090024448 is a wasteful number, since it uses less digits than its factorization.

157055090024448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16623 (or 16596 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 157055090024448 in words is "one hundred fifty-seven trillion, fifty-five billion, ninety million, twenty-four thousand, four hundred forty-eight".