157003757464320 has 1152 divisors, whose sum is σ = 635914953031680. Its totient is φ = 36338337054720.

The previous prime is 157003757464297. The next prime is 157003757464339. The reversal of 157003757464320 is 23464757300751.

157003757464320 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 0 + 3 + 7 + 574 + 6 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8302235665 + ... + 8302254575.

It is an arithmetic number, because the mean of its divisors is an integer number (552009507840).

Almost surely, 2^{157003757464320} is an apocalyptic number.

157003757464320 is a gapful number since it is divisible by the number (10) 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 157003757464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317957476515840).

157003757464320 is an abundant number, since it is smaller than the sum of its proper divisors (478911195567360).

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

157003757464320 is a wasteful number, since it uses less digits than its factorization.

157003757464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20058 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 157003757464320 in words is "one hundred fifty-seven trillion, three billion, seven hundred fifty-seven million, four hundred sixty-four thousand, three hundred twenty".