157892855040 has 288 divisors, whose sum is σ = 561619578240. Its totient is φ = 42005643264.

The previous prime is 157892855033. The next prime is 157892855041. The reversal of 157892855040 is 40558298751.

157892855040 is a `hidden beast` number, since 1 + 5 + 7 + 89 + 2 + 8 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157892855041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15304924 + ... + 15315236.

It is an arithmetic number, because the mean of its divisors is an integer number (1950067980).

Almost surely, 2^157892855040 is an apocalyptic number.

157892855040 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 157892855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280809789120).

157892855040 is an abundant number, since it is smaller than the sum of its proper divisors (403726723200).

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

157892855040 is a wasteful number, since it uses less digits than its factorization.

157892855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 157892855040 in words is "one hundred fifty-seven billion, eight hundred ninety-two million, eight hundred fifty-five thousand, forty".